International Journal of Theoretical and Mathematical Physics

International Journal of Theoretical and Mathematical Physics is a peer-reviewed journal, publishing papers on all areas in which theoretical physics and mathematics interact with each other. It features the reports on current developments in theoretical physics as well as related mathematical problems.


Abdul-Majid Wazwaz

Editorial Board Member of International Journal of Theoretical and Mathematical Physics

Professor, Saint Xavier University, USA

Research Areas

Applied Mathematics and Mathematical Physics

Education

1977-1981Ph.DApplied Mathematics, University of Illinois At Chicago
1974-1975Master of ScienceWestern Illinois University, Macomb, Illinois
1958-1962B.ScCairo University, Faculty of Science

Experience

1990-presentProfessor of Mathematics, Saint Xavier University, Chicago, IL
1989-1996Visiting Scholar, Department of Mathematics, University of Illinois at Chicago, Chicago, IL
1982-1990Chairman, Associate Professor, College of Science and Technology, Al-Quds University, Jerusalem
1984-1988Chairman, Department of Computer Science, Ibrahimieh University College, Jerusalem

Publications: Journals

[1]  Matched uniform approximations for a singular boundary point and interior turning point, (with F.B.Hanson), SIAM J. Appl. Math., 46 (1986), 943-961.
[2]  Singular boundary resonance and turning point resonance, (with F.B.Hanson), SIAM J. Appl. Math., 46 (1986), 962-977.
[3]  Singular and turning point resonance: Small perturbations-big effects, (with F.B.Hanson), Appl. Math.Letters, 1 (1988), 137-140.
[4]  Two turning points of second order, SIAM J. Appl. Math., 50 (1988), 883-892.
[5]  A modified third order Runge-Kutta method, Appl. Math.Letters, 3 (1990), 123-125.
[6]  Moments of extinction for a singular perturbation problem in the diffusion process, (with F. B. Hanson), SIAM J. Appl. Math., 51 (1991), 233-265.
[7]  On the asymptotic solutions of a differential equation with multiple singular points, Journal of Computational and Applied Mathematics, 34 (1991), 65-74.
[8]  Modified numerical methods based on arithmetic and geometric means, Appl. Math.Letters, 4 (1991), 49-52.
[9]  Asymptotic solutions of an eigenvalue problem with several second turning points, IMA J. of Appl. Math., 48 (1992), 39-51.
[10]  Sequences of series, Appl. Math. Letters, 5 (1992), 39-43.
[11]  Resonance and asymptotic solutions of a singular perturbation problem, IMA J. of Appl. Math., 49 (1992), 231-244.
[12]  A Comparison of Modified Runge-Kutta Methods Based on a Variety of Means, Intern. J. Computer Math., 50 (1994), 105-112.
[13]  On the Numerical solution of the Goursat Problem, Applied Mathematics and Computation, 59 (1993), 89-95.
[14]  On the Numerical solution of y' = f(x,y) by a class of nonlinear trapezoidal formulas, Intern. J. Computer Math., 51 (1994), 229-238.
[15]  The Decomposition Method for Approximate solution to the Goursat Problem, Applied Mathematics and Computation, 69 (1995), 299-311.
[16]  A new approach to the nonlinear advection problem: An application of the decomposition method, Applied Mathematics and Computation, 72 (1995), 175-181.
[17]  Two methods for solving integral equations, (with S. Khuri), Applied Mathematics and Computation, 77 (1996), 79-89.
[18]  On the solution of the fourth order parabolic equation by the decomposition method, Intern. J. Computer Math.,(1995),57, 213-217.
[19]  The solution of a partial differential equation arising in fluid flow theory, (with S. Khuri), Applied Mathematics and Computation, 77 (1996), 295-300.
[20]  A reliable technique for solving the weakly-singular second-kind Volterra-type integral equations, (with S. Khuri), Applied Mathematics and Computation, 80 (1996), 287-299.
[21]  The decomposition method for solving a second Fredholm second kind integral equation with a logarithmic kernel, (with S. Khuri), Intern. J.Computer Math. 61, (1996), 103-110 .
[22]  Necessary conditions for the appearance of noise terms in decomposition solution series, Applied Mathematics and Computation, 81, (1997), 265-274.
[23]  On the solution of a partial differential equation arising in Stokes flow, (with S. Khuri), Applied Mathematics and Computation, 85 (1997), 139-147.
[24]  A study on a boundary-layer equation arising in an incompressible fluid, Applied Mathematics and Computation, 87 (1997), 199-204.
[25]  A study on complex integrals involving absolute values, Applied Mathematics and Computation, 85,(1997), 281-286 .
[26]  Equality of partial solutions in the decomposition method for partial differential equations, Intern. J. Computer Math., 65 (1997), 293-308.
[27]  New ideas for solving size-structured population models, (with S. Khuri), Applied Mathematics and Computation, 93, (1998), 91-96.
[28]  A reliable technique for solving the wave equation in an infinite one-dimensional medium, Applied Mathematics and Computation, 92 (1998), 1-7.
[29]  A comparison between the Adomian decomposition method and the Taylor series method in the series solutions, Applied Mathematics and Computation, 97(1998), 37-44.
[30]  A comparative study on a singular perturbation problem with two singular boundary points, Applied Mathematics and Computation, 99 (1999), 179-193.
[31]  Analytical approximations and Pade' approximants for Volterra's population model, Applied Mathematics and Computation, 100 (1999), 13-25.
[32]  A reliable modification of the Adomian decomposition method, Applied Mathematics and Computation, 102 (1999), 77-86.
[33]  The modified decomposition method and the Pade' approximants for solving Thomas-Fermi equation, Mathematics and Computation, 105 (1999), 11-19.
[34]  A new technique for calculating Adomian polynomials for nonlinear polynomials, Applied Mathematics and Computation, 111(1)(2000),33-51.
[35]  The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model, Applied Mathematics and Computation 110 (2000), 251-264.
[36]  The modified decomposition method applied to unsteady flow of gas through a porous medium, Applied Mathematics and Computation, 118(2/3) (2001) 123-132.
[37]  A new algorithm for solving differential equations of the Lane-Emden type, (1999), Applied Mathematics and Computation, 118(2/3) (2001) 287-310.
[38]  The numerical solution of special fourth-order boundary value problems by the modified decomposition method, International J. of Computer Mathematics, 79(3) (2002) 345-356.
[39]  The numerical solution of fifth-order boundary value problems by the decomposition method, (1999), Journal of Computational and Applied Mathematics, 136(1/2) (2001), 259-270.
[40]  The numerical solution of sixth-order boundary value problems by the modified decomposition method, Applied Mathematics and Computation, 118 (2/3) (2001) 311-325.
[41]  The numerical solution of eighth-order boundary value problems by the modified decomposition method, Neural, Parallel and Scientific Computations, 8(2) (2000) 133-146.
[42]  Approximate solutions to boundary value problems of higher-order by the modified decomposition method, Computers and Mathematics with Applications, 40 (2000) 679-691.
[43]  A reliable algorithm for solving boundary value problems for higher-order integro-differential equations, (1999), Applied Mathematics and Computation, 118 (2/3) (2001) 327-342.
[44]  The decomposition method for higher dimensional initial boundary value problems of variable coefficients, International Journal of Computer Mathematics, 76 (2000), 159-172.
[45]  The modified decomposition method for solving linear and nonlinear boundary value problems of tenth-order and twelfth order, International J. of Nonlinear Sciences and Numerical Simulation, 1 (2000) 17-24.
[46]  A new method for solving singular initial value problems in the second order ordinary differential equations, Applied mathematics and Computation, 28(1) (2002), 45-47.
[47]  Exact solutions to nonlinear diffusion equations by the decomposition method, Applied Mathematics and Computation, 123 (1) (2001) 109-122 .
[48]  A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation, Applied Mathematics and Computation, 123(2) (2001) 205-217.
[49]  Analytic treatment for variable coefficient fourth-order parabolic partial differential equations, Applied Mathematics and Computation, 123 (2) (2001) 219-227.
[50]  Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method, Chaos, Solitons and Fractals, 12(8) (2001) 1549-1556.
[51]  An analytic study on the third-order dispersive partial differential equations, Applied Mathematics and Computation, 142 (2-3) (2002) 511-520.
[52]  The decomposition method for solving the diffusion equation subject to the classification of mass, International J. of Applied Mathematics (IJAM), 3(1) (2000) 53-69.
[53]  A note on using Adomian decomposition method for solving boundary value problems, Foundations of Physics Letters,13(5) (2000) 493-498.
[54]  A new modification of Adomian decomposition method for linear and nonlinear operators, (with S. El-Sayed), Applied Mathematics and Computation, 123(3) (2001) 393-405.
[55]  Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions, Applied Mathematics and Computation,123 (2001) 133-140.
[56]  Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method, Chaos, Solitons and Fractals, 12(12) (2001) 2283-2293.
[57]  Solitary wave solutions for the modified KdV equation by Adomian decomposition method, International J. of Applied Mathematics (IJAM), 3(4) (2000) 361-368.
[58]  A reliable treatment for mixed Volterra-Fredholm integral equations, Applied Mathematics and Computation, 127 (2002), 405-414.
[59]  A reliable technique for solving linear and nonlinear Schrodinger equations by Adomian decomposition method, Bulletin of the Institute of Mathematics,(29(2) (2001), 125-134.
[60]  Existence and construction of compacton solutions, Chaos, Solitons and Fractals, 19(3) (2004) 463-470.
[61]  A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems, Comput. Math. Applic., 41 (2001) 1237-1244.
[62]  New solitary-wave solutions with compact support for the nonlinear dispersive K(m,n) equations, Chaos, Solitons and Fractals, 13(20 (2002) 321-330.
[63]  Exact special solutions with solitary patterns for the nonlinear dispersive K(m,n) equations, Chaos, Solitons and Fractals, 13(1) (2001), 161-170.
[64]  A reliable algorithm for higher-dimensional diffusion equation subject to the classification of mass, International J. of Applied Mathematics, 7(3) (2001) to 65-74.
[65]  Exact solutions for variable coefficient fourth-order parabolic partial differential equations in higher dimensional spaces, Applied mathematics and Computation, 130 (2/3) (2002) 415-424 .
[66]  Compactons dispersive structures for variants of the K(n,n) and the KP equations, Chaos, Solitons and Fractals, 13(5) (2002) 1053-1062.
[67]  Compactons and solitary patterns structures for variants of the KdV and the KP equations, Applied mathematics and Computation, 139(1) (2003) 37-54.
[68]  Compactons structures for fifth-order KdV like equations in higher dimensions, Applied Mathematics and Computation, 130 (2/3) (2002) 425-440 .
[69]  Solitary patterns solutions having infinite slopes or cusps for fifth-order KdV like equations in higher dimensions, Applied mathematics and Computation, 131/1 (2002) 181-194.
[70]  A study of nonlinear dispersive equations with solitary-wave solutions having compact support, Mathematics and Computers in Simulation, 56 (2001) 269-276.
[71]  Compact and noncompact structures for variants of the KdV equation, Applied Mathematics and Computation, 132 (1)(2002) 29-45.
[72]  General compactons solutions for the focusing branch of the nonlinear dispersive K(n,n) equations in higher dimensional spaces, Applied Mathematics and Computation, 133(2/3) (2002), 213-227.
[73]  General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K(n,n) equations in higher dimensional spaces, Applied Mathematics and Computation, 133(2/3) (2002), 229-244.
[74]  Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation, Applied Mathematics and Computation, 134(2/3) (2003) , 487-500.
[75]  General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations m K(n,n) in higher dimensional spaces, Mathematics and Computers in Simulation, 59 (2002), 519-531.
[76]  The effect of the order of the nonlinear dispersive equation on the compact and the noncompact solutions, Appl. Math. Comput., 138 (2/3) (2003) 309-319.
[77]  Several new exact solutions for a fast diffusion equation by the differential constraints of the linear determining equations, Applied Mathematics and Computation, 145(2/3) (2003) 525-540.
[78]  Compact and noncompact structures formed by nonlinear equations with positive and negative exponents, Applied Mathematics and Computation, 146(1) (2003) 1-25.
[79]  Compacton solutions and nonlinear dispersion, Applied Mathematics and Computation, 142(2-3) (2003) 495-509.
[80]  Compacton solutions of the Kawahara-type nonlinear dispersive equation, Applied Mathematics and Computation, 145 (1) (2003) 133-150.
[81]  The existence of noise terms for systems of inhomogeneous differential and integral equations, Applied Mathematics and Computation, 146 (1) (2003) 81-92.
[82]  A study on compacton-like solutions for the modified KdV and fifth order KdV-like equations, Applied Mathematics and Computation, 147(2) (2004), 439-447.
[83]  Compacton solutions of higher order nonlinear dispersive KdV-like equations, Applied Mathematics and Computation, 147(2) (2004), 449-460.
[84]  Compact and noncompact structures in a class of nonlinearly dispersive equations, (with Thiab Taha), Computers and Mathematics in Simulation, 62(1-2) (2003), 171-189.
[85]  An analytic study of compactons solutions for variants of Kuramoto-Sivanshinsky equation, Applied Mathematics and Computation, 148 (2004), 571-585.
[86]  Compact structures for variants of the generalized KdV and the generalized KP equations, Applied Mathematics and Computation, 149(1) (2004) 103-117.
[87]  A study on nonlinear dispersive partial differential equations of compact and non compact solutions, Applied Mathematics and Computation, 135 (2-3) (2003) 399-409.
[88]  A construction of compact and noncompact solutions for nonlinear dispersive equations of even order, Applied Mathematics and Computation, 135 (2-3) (2003) 411-424.
[89]  Compactons in a class of nonlinear dispersive equations, Mathematical and Computer Modelling, 37(3/4) (2003) 333-341.
[90]  An analytic study of compactons structures in a class of nonlinear dispersive equations, Mathematics and Computers in Simulation, 63(1) (2003) 35-44 .
[91]  Exact solutions of heat-like and wave-like equations with variable coefficients (with Alice Gorguis), Applied Mathematics and Computation, 149(1) (2004) 15-29.
[92]  Compactons structures for specific nonlinear dispersive equations, Applied Mathematics and Computation, 150 (2) (2004) 399-407.
[93]  Distinct variants of the KdV equation with compact and noncompact structures, Applied Mathematics and Computation, 150 (2) (2004) 365-377.
[94]  Variants of the generalized KdV equation with compact and noncompact structures, Computers and Mathematics with Applications, 47 (2004) 583-591.
[95]  An analytic study of Fisher's equation by using Adomian decomposition method, (with Alice Gorguis), Applied Mathematics and Computation, 154(3) 609--620 (2004).
[96]  Two classes of variants of the generalized KdV equations with compact and noncompact solutions, Applied Mathematics and Computation, 154(3) 835--846 (2004).
[97]  The tanh method for travelling wave solutions of nonlinear equations, Applied Mathematics and Computation, 154 (3) 713--723 (2004).
[98]  Compact and noncompact solutions for nonlinear dispersive variants of the generalized KdV equation, Applied Mathematics and Computation, 159(2) (2004) 577-588.
[99]  The sine-cosine method for obtaining solutions with compact and noncompact structures, Applied Mathematics and Computation, 159(2) (2004) 559-576.
[100]  Effect of the nonlinearity of the middle term for variants of the generalized KdV equation, Applied Mathematics and Computation, 159(2) (2004) 539-558.
[101]  Adomian decomposition method for a reliable treatment of the Emden-Fowler equation, Applied Mathematics and Computation, 161(2005),543-560.
[102]  Variants of the generalized fifth-order KdV equation with compact and noncompact structures, (with M.A.Helal), Chaos, Solitons and Fractals, 21 (2004) 579-589(2004).
[103]  Compactons, solitons and periodic solutions for variants of the KdV and the KP equations, Applied Mathematics and Computation, 161(2005) 561-575.
[104]  Nonlinear dispersive special type of the Zakharov-Kuznetsov equation ZK(n,n) with Compact and noncompact structures, Applied mathematics and Computation, 161 (2005) 577-590.
[105]  A sine-cosine method for handling nonlinear wave equations, Mathematical and Computer Modelling, 40 (2004) 499-508.
[106]  New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations, Chaos, Solitons and Compactons, 22(1) 249-260 (2004).
[107]  Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions, Communications in Nonlinear Science and Numerical Simulation, 10(4) (2005) 451-463.
[108]  Special types of the nonlinear dispersive Zakharov-Kuznetsov equation with compactons, solitons and periodic solutions, International Journal of Computer Mathematics, 81 (9) 1107-1119 (2004).
[109]  Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form, Communications in Nonlinear Science and Numerical Simulation, 10 (2005) 597-606.
[110]  A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions, Applied Mathematics and Computation, 165 (2005) 485-501.
[111]  A reliable treatment of the physical structure for the nonlinear equation K(m,n), Applied Mathematics and Computation, 163(3) (2005) 1081-1095.
[112]  New compact and noncompact solutions for two variants of a modified Camassa-Holm equation, Applied Mathematics and Computation, 163 (3) (2005) 1165-1179.
[113]  Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin-Bona-mahony equation, Communications in Nonlinear Science and Numerical Simulation, 10 (2005) 855-867.
[114]  Adomian decomposition method for a reliable treatment of the Bratu-type equations, Applied Mathematics and Computation, 166(3) (2005), 652-663.
[115]  Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method, Applied Mathematics and Computation, 166(3) (2005) 638-651.
[116]  Generalized Boussinesq type of equations with compactons, solitons and periodic solutions, Applied Mathematics and Computation, 167(2) (2005), 1162-1178.
[117]  Variants of the Two-Dimensional Boussinesq Equations with Compactons, Solitons and periodic Solutions, Computers and Mathematics with Applications, 49 (2005) 295-301.
[118]  The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants, Communications in Nonlinear Science and Numerical Simulation, 11(2) (2006) 148-160.
[119]  Generalized forms of the Phi-Four equation with compactons, solitons and periodic solutions, Mathematics and Computers in Simulation, Special Issue on Nonlinear waves: Computation and Theory IV, 69 (5-6) (2005) 580-588.
[120]  The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation, Applied Mathematics and Computation, 167(2) (2005), 1179-1195.
[121]  Nonlinear variants of the improved Boussinesq equation with compact and noncompact structures, Computers and Mathematics with Applications, 49 (2005) 565-574.
[122]  The tanh method and the sine-cosine method for solving the KP-MEW equation, International Journal of Computer mathematics,49 (2005) 565-574.
[123]  The tanh method: exact solutions of the Sine-Gordon and the Sinh-Gordon equations, Applied Mathematics and Computation, 167(2) (2005) 1196-1210.
[124]  The tanh and the sine-cosine methods for the complex modified KdV and the generalized KdV equations, Computers and Mathematics with Applications, 49 (2005), 1101-1112.
[125]  Exact solutions of compact and noncompact structures for the KP-BBM equation, Applied Mathematics and Computation, 169 (1) (2005) 700-712.
[126]  A variety of exact wave solutions with distinct physical structures for the Boussinesq system, Communications in Nonlinear Science and Numerical Simulation, 11(3) (2006) 376-390.
[127]  Compact and noncompact physical structures for the ZK-BBM equation, Applied Mathematics and Computation, 169 (2005), 713-725.
[128]  The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equation, Applied Mathematics and Computation, 169 (2005), 321-338.
[129]  Exact and explicit travelling wave solutions for the nonlinear Drinfeld-Sokolov system, Communications in Nonlinear Science and Numerical Simulation, 11 (3) (2006) 311-325.
[130]  Compact and noncompact solutions for the BBM(n,n) equation, International Journal of Applied Mathematics, 16(1), (2004), 101-110 .
[131]  Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations, Applied Mathematics and Computation, 169 (2005), 639-656.
[132]  The Camassa-Holm-KP equations with compact and noncompact travelling wave solutions, Applied Mathematics and Computation, 170 (2005), 347-360.
[133]  Exact solutions for the ZK-MEW equation by using the tanh and the sine-cosine methods, International Journal of Computer Mathematics, 82 (6) (2005) 699-708.
[134]  The tanh method for a reliable treatment of the K(n,n) and the KP(n,n) equations and its variants, Applied Mathematics and Computation, 170 (2005), 361-379..
[135]  Explicit travelling wave solutions of variants of the K(n,n) and the ZK(n,n) equations with compact and noncompact structures, Applied Mathematics and Computation, 173(1) (2006), 213-230.
[136]  The sine-cosine and the tanh methods: reliable tools for analytic treatment of nonlinear dispersive equations, Applied Mathematics and Computation, 173(1) (2006), 150-164.
[137]  Nonlinear variants of the BBM equation with compact and noncompact physucal structures, (with M.A.Helal), Chaos, Solitons, and Fractals, 26(2005),767-776.
[138]  The modified decomposition method for analytic treatment of differential equations, Applied Mathematics and Computation, 173(1) (2006), 165-176.
[139]  The tanh method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations, Chaos, Solitons and Fractals, 25(1) 55-63, (2005).
[140]  Analytic studies on nonlinear variants of the RLW and the PHI-four equations, Communications in Nonlinear Science and Numerical Simulation, 12 (3) (2007), 314-327.
[141]  Travelling wave solutions for combined and double combined sine-cosine-Gordon equations by the variable separated ODE method, Applied Mathematics and Computation, (2005), 177 (2006) 755-766..
[142]  Travelling wave solutions for the reaction-diffusion equations, International journal of Applied mathematics, 16(4) (2005) 497-507.
[143]  Two reliable methods for solving variants of the KdV equation with compact and noncompact structures, Chaos, Solitons and Fractals, 28(2006) 454-462.
[144]  Exact solutions to the double Sinh-Gordon equation by the tanh method and a variable separated ODE method, Computers and Mathematics with Applications, 50 (2005) 1685-1696.
[145]  Exact solutions of the generalized sine-Gordon and the generalized sinh-Gordon equations, Chaos, Solitons & Fractals, 28 (2006) 127-135.
[146]  The modified decomposition method for analytic treatment of non-linear integral equations and systems of non-linear integral equations, International Journal of Computer mathematics, 82(9) (2005) 1107-1115.
[147]  The variable separated ODE method for a reliable treatment of the Liouville equations and its variants, Communications in Nonlinear Science and Numerical Simulation, 12(4) (2006), 434-446.
[148]  Reliable analysis for the nonlinear Schrodinger equations with a cubic and a power law nonlinearities, Mathematical and Computer Modelling, 43 (2006), 178-184.
[149]  Solitons and periodic solutions for the fifth-order KdV equation, Applied Mathematics Letters, 19 (11) (2006) 1162-1167.
[150]  Exact solutions for the fourth order nonlinear Schrodinger equations with a cubic and a power law nonlinearities, Mathematical and Computer Modelling, 43(2006), 802-808.
[151]  Compactons, solitons and periodic solutions for some forms of nonlinear Klein-Gordon equations, Chaos, Solitons and Fractals, 28 (2006) 1005-1013 .
[152]  The tanh method for compact and noncompact solutions for variants of the KdV-Burger and the K(n,n)-Burger equations, Physica D 213 (2) (2006), 147-151.
[153]  The variable separated ODE and the tanh methods for solving the combined and the double combined sinh-cosh-Gordon equations, Applied Mathematics and Computation, 177 (2006), 745--754.
[154]  The modified decomposition method and the Pade' approximants for a boundary layer equation in unbounded domain, Applied Mathematics and Computation, 177 (2006), 737--744.
[155]  Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities, Communications in Nonlinear Science and Numerical Simulation, 12(6) (2007) 904-909.
[156]  The tanh method and a variable separated ODE method for solving double sine-Gordon equation, Physics Letters A, 350(5/6) (2006), 367-370.
[157]  New solitons and kink solutions for the Gardner equation, Communications in Nonlinear Science and Numerical Simulation, 12(8) (2007), 1395--1404.
[158]  Compact and noncompact structures for variants of the KdV equation, International Journal of Applied Mathematics, 18(2) (2005), 213-221.
[159]  Analytic study of combined forms of two or more of KdV, mKdV, Burgers, KP, and ZK equations, Pacific-Asian Journal of Mathematics, 1(1) (2007) 51-60.
[160]  The variable separated ODE method for travelling wave solutions for the Boussinesq-double-sine-Gordon and the Boussinesq-double-sinh-Gordon equations, Mathematics and Computers in Simulation, 72 (2006), 1-9.
[161]  Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations, Physics Letters A, 352(6) (2006) 500--504 .
[162]  Analytic study of the fifth order integrable nonlinear evolution equations by using the tanh method, Applied Mathematics and Computation, 174 (2006) 289-299.
[163]  Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method, Applied Mathematics and Computation, 181(2) (2006) 1713-1719.
[164]  A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations, Applied Mathematics and Computation, 181(2) , (2006) 1703-1712.
[165]  Solitary wave solutions and periodic solutions for higher-order nonlinear evolution equations, Applied Mathematics and Computation, 181(2) (2006), 1683-1692.
[166]  Analytic study on the generalized fifth-order KdV equation: new solitons and periodic solutions, Communications in Nonlinear Science and Numerical Simulation, 12(7) (2007) 1172-1180.
[167]  Compactons and solitary patterns solutions to fifth-order KdV equation, Physica A, 371 (2006) 273-279.
[168]  A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations, Chaos, Solitons and Fractals, 33 (2) (2007) 703-710.
[169]  New travelling wave solutions of different physical structures to generalized BBM equation, Physics Letters A, 355 (2006) 358-362.
[170]  Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method, Appl. Math. Comput., 182 (1) (2006), 283-300.
[171]  Analytic study for variants of the K(n,n) equation, International Journal of Applied Mathematics, 18 (3) (2005) 403-413.
[172]  New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations, Communications in Nonlinear Science and Numerical Simulation, 13(2) (2007) 331-339.
[173]  Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes, Applied Mathematics and Computation, 182(1) (2006) 412-424.
[174]  Compactons and solitary wave solutions for the Boussinesq wave equation and its generalized form, Applied Mathematics and Computation, 182(1) (2006) 529-535.
[175]  Exact travelling wave solutions to seventh-order and ninth-order KdV-like equations, Applied Mathematics and Computation, 182(1) (2006) 771-780.
[176]  New solitons and periodic solutions for the fifth-order forms of the Lax and the SK equations, International Journal of Computer Mathematics, 84(11) (2007) 1663-1681..
[177]  New kinds of solitons and periodic solutions to the generalized KdV equation, Numerical Methods for Partial Differential Equations, 23(2) (2006) 247-255.
[178]  New hyperbolic schemes for reliable treatment of Boussinesq equation, Physics Letters A, 358 (2006) 409-413.
[179]  Pade' approximants and Adomian decomposition method for solving the Flierl-Petviashivili equation and its variants, Applied Mathematics and Computation, 182 (2006) 1812-1818.
[180]  New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations, Applied Mathematics and Computation, 182 (2006) 1642-1650.
[181]  Kinks and solitons solutions for the generalized KdV equation with two power nonlinearities, Applied Mathematics and Computation, 183(2) (2006) 1181-1189.
[182]  Analytic study on the one and the two spatial dimensional potential KdV equations, Chaos, Solitons and Fractals, 36 (2008) 175-181.
[183]  New kinks and solitons solutions to the (2+1)-dimensional Konopelchenko-Dubrovsky equation, Mathematical and Computer Modelling, 45 (2007) 473-479.
[184]  The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations, Communications in Nonlinear Science and Numerical Simulation, 13 (2008) 584-592.
[185]  The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations, Applied Mathematics and Computation, 184(2) (2007) 1002-1014 .
[186]  The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations, Journal of Computational and Applied Mathematics, 207 (2007) 18-23..
[187]  A comparison between the variational iteration method and Adomian decomposition method, Journal of Computational and Applied Mathematics, 207 (2007), 129-136.
[188]  New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations, Applied Mathematics and Computation, 186(1) (2007) 130-141.
[189]  New travelling wave solutions to the Boussinesq and the Klein-Gordon equations, Communications in Nonlinear Science and Numerical Simulations, 13 (5) (2008) 889-901..
[190]  New solitary wave solutions to the modified Kawahara equation, Physics Letters A,360 (4-5) 2007) 588-592.
[191]  The extended tanh method for abundant solitary wave solutions of nonlinear wave equations Applied Mathematics and Computation, 187 (2007) 1131-1142.
[192]  New solitary wave and periodic wave solutions to the (2+1)-dimensional Nizhnik-Novikov-Veselov system, Applied Mathematics and Computation, 187 (2007) 1584-1591.
[193]  The variational iteration method for solving two forms of Blasius equation on a half-infinite domain, Applied Mathematics and Computation, 188(1) (2007) 485-491.
[194]  A study on linear and nonlinear Schrodinger equations by the variational iteration method, Chaos, Solitons and Fractals, 37 (2008) 1136-1142.
[195]  The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms, Communications in Nonlinear Science and Numerical Simulations, 13 (2008) 1039-1047.
[196]  New solitons and kinks solutions to the Sharma-Tasso-Olver equation, Applied Mathematics and Computation, 188 (2007) 1205-1213.
[197]  The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations, Applied Mathematics and Computation, 188 (2007) 1467-1475.
[198]  The variational iteration method for exact solutions of Laplace equation, Physics Letters A,363 (2007) 260-262.
[199]  The tanh-coth method for new compactons and solitons solutions for the K(n,n) and the K(n+1,n+1) equations. Applied Mathematics and Computation, 188 (2007) 1930-1940.
[200]  The variational iteration method for solving linear and nonlinear systems of PDEs, Computers and Mathematics with Applications, 54 (2007) 895-902.
[201]  The variational iteration method; a reliable tool for solving linear and nonlinear wave equations, Computers and Mathematics with Applications, 54 (2007) 926-932.
[202]  The variational iteration method; a powerful scheme for handling linear and nonlinear diffusion equations, Computers and Mathematics with Applications, 54 (2007) I933-939.
[203]  Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method, Applied Mathematics and Computation, 190 (2007) 633-640.
[204]  The tanh-coth and the sech methods for exact solutions of the Jaulent-Miodek equation, Physics Letters A , 366(1/2) (2007) 85-90.
[205]  Multiple-front solutions for the Burgers equation and the coupled Burgers equations, Applied Mathematics and Computation, 190 (2007) 1198-1206.
[206]  Multiple-soliton solutions for the Boussinesq equation, Applied Mathematics and Computation, 192 (2007) 479-486.
[207]  The variational iteration method for a reliable treatment of the linear and the nonlinear Goursat problem, Applied Mathematics and Computation, 193 (2007) 455-462.
[208]  The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations, Applied Mathematics and Computation 195 (2008) 24-33.
[209]  Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations, Applied Mathematics and Computation 195(2) (2008) 754-761
[210]  The tanh-coth method combined with the Riccati equation for solving the KdV equation. Arab Journal of Mathematics and Mathematical Analysis 1(1) (2007) 27-34.
[211]  New solutions of distinct physical structures to high-dimensional nonlinear evolution equations, Applied Mathematics and Computation,196 (2008) 363-370.
[212]  Multiple-soliton solutions for the fifth-order Caudrey-Dodd-Gibbon equation, Applied mathematics and Computation, 197 (2008) 719-724.
[213]  Explicit and implicit solutionsfor the one-dimensional and quintic complex Ginzburg-Landau equations, Applied Mathematics Letters, 19 (2006) 1007-1012.
[214]  Multiple-soliton solutions for the Lax seventh-order equation , Applied Mathematics and Computation, 198 (2008) 877-881 .
[215]  Travelling wave solutions to (2+1)-dimensional nonlinear evolution equations, Journal of Natural Sciences and Mathematics , 1, (2007) 1-15..
[216]  The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation, Appl. Math. Comput., 199 (2008) 133-138.
[217]  The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petvishvili equation, Appl. Math. Comput., 200 (2008) 160-166.
[218]  Multiple-front solutions for the Burgers-Kadomtsev-Petvisahvili equation, Appl. Math. Comput., 200 (2008) 437-443.
[219]  Multiple-soliton solutions for the Lax-Kadomtsev-Petvisahvili (Lax-KP) equation, Appl. Math. Comput., 201 (2008) 168-174.
[220]  The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves, Appl. Mayh. Comput., 201 (2008) 489-503.
[221]  Multiple-soliton solutions of two extended model equations for shallow water waves, Appl. Math. Comput., 201 (2008) 790-799.
[222]  Solitary wave solutions of the the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and Exp-function method, Appl. Math. Comput., 202 (2008) 275-286.
[223]  Multiple-soliton solutions for the generalized (1+1)-dimensional and the generalized (2+1)-dimensional Ito equation, Appl. Math. Comput., 202 (2008) 840-849.
[224]  Multiple-soliton solutions for the ninth-order KdV and sixth-order Boussinesq equations , Appl. Math. Comput., 203 (2008) 402-407.
[225]  N-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation , Appl. Math. Comput., 203 (2008) 402-407.
[226]  Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff , Jimbo-Miwa and YTSF equation , Appl. Math. Comput., 203 (2008) 592-597.
[227]  Single and multiple-soliton solutions for the (2+1)-dimensional KdV equation , Appl. Math. Comput., 204(1) (2008) 20-26.
[228]  Solitons and singular solitons for the Gardner-KP equation, Appl. Math. Comput., 204(1) (2008) 162-169.
[229]  Regular soliton solutions and singular solitonsolutions for the modified Kadomtsev-Petviashvili equations , Appl. Math. Comput., 204(1) (2008) 227-232.
[230]  Exact N-soliton solutions of the Sharma-Tasso-Olver-Kadomtsev-Petviashvili equation (STO-KP), Numerical Simulation Research Progress, Nova Science Publishers, (2008) 249-256.
[231]  Multiple kink solutions and multiple singular kink solutions for the (2+1)-dimensional Burgers equations , Appl. Math. Comput., 204 (2008) 817-823.
[232]  Multiple soliton solutions and multiple singular soliton solutions for the (3+1)-dimensional Burgers equations , Appl. Math. Comput., 204 (2008) 942-948.
[233]  The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions , Appl. Math. Comput., 204 (2008) 963-972.
[234]  The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations, Chaos, Solitons and Fractals ., 38(5) (2008) 1505-1516 .
[235]  Multiple soliton solutions and multiple singular soliton solutions for two integrable systems , Physics Letters A, 372 (46) (2008) 6879-6886.
[236]  The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation , Appl. Math. Comput., 207 (2009) 248-255..
[237]  Two systems of two-component integrable equation: multiple soliton solutions and multiple singular soliton solutions , Appl. Math. Comput., 207 (2009) 397-405.
[238]  Multiple kink solutions and multiple singular kink solutions for two systems of coupled Burgers' type equations, Communications in Nonlinear Science and Numerical Simulations, 14 (2009) 2962-2970.
[239]  Multiple soliton solutions and multiple singular soliton solutions for two higher dimensional shallow waterwave equations, Appl. Math. Comput., 211 (2) (2009) 495-501.
[240]  The variational iteration method for analytic treatment for linear and nonlinear ODEs, Appl. Math. Comput., 212 (1) (2009) 120-134.
[241]  Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy, Physics Letters A, 373 (2009) (1844-1846).
[242]  Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation, (with H. Triki) Appl. Math. Comput., 214 (2) (2009) 370-373..
[243]  Bright and dark soliton solutions for a K(m,n) equation with t-dependent coefficients, (with H. Triki) Physics Letters A, 373 (2009) 2162-2165 .
[244]  Multiple soliton solutions for a (2+1)-dimensional integrable KdV6 equation, Communications in Nonlinear Science and Numerical Simulations, 15 (2010) 1466-1472.
[245]  The variational iteration method (VIM) for solving linear and nonlinear Volterra integral and integro-differential equations, International Journal of Computer Mathematics, 87(5) (2010) 1131-1141.
[246]  Multiple soliton solutions and multiple singular soliton solutions for (2+1)-dimensional shallow water wave equations, Physics Letters A, 373 (33) (2009) 2927-2930.
[247]  A variety of exact travelling wave solutions for the (2+1)-dimensional Boiti-Leon-Pempinelli equation, (with M. Mehanna), Appl. Math, Comput. 217 (2010) 1484--1490.
[248]  Solitary wave solutions for a generalized KdV-mKdV equation with variable coefficients, (with H. Triki and T. Taha), Mathematics and Computers in Simulation, 80(9) (2010) 1867--1873.
[249]  A (3+1)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions, Appl. Math. Comput., 215 (4) (2009) 1548-1552.
[250]  Four (2+1)-dimensional integrable extensions of the KdV equation: multiple-soliton solutions and multiple singular soliton solutions, Appl. Math. Comput., 215(4) (2009) 1463-1476 .
[251]  Soliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law, (with H. Triki), International Journal of Computer Mathematics, 87(5) (2010) 1178-1185.
[252]  Multiple soliton solutions for the (2+1)-dimensional asymmetric Nizhanik-Novikov-Veselov equation, Nonlinear Analysis Series A: Theory, Methods & Applications , 72 (2010) 1314--1318.
[253]  The (2+1) and (3+1)-dimensional CBS equation: multiple soliton solutions and multiple singular soliton solutions, Multiple , Zeitschrift fur Naturforschung A (ZNA), 65a (2010) 173-181.
[254]  Completely integrable coupled KdV and coupled KP systems, Communications in Nonlinear Science and Numerical Simulations, 15 (2010) 2828--2835.
[255]  Four (2+1)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation, Applied Mathematics and Computation, 215(2010) 3631--3644.
[256]  Soliton solutions for (2+1)-dimensional and (3+1)-dimensional K(m,n) equations, (with H. Triki), Applied Mathematics and Computation 217 (2010) 1733--1740.
[257]  A study on an integrable system of coupled KdV equations, Communications in Nonlinear Science and Numerical Simulation, 15 (2010) 2846--2850.
[258]  Multiple soliton solutions for coupled KdV and coupled KP Systems, Canadian Journal of Physics, 87(12) (2010) 1227-1232 .
[259]  Multiple-soliton solutions of the perturbed KdV equation, Communications in Nonlinear Science and Numerical Simulation, 15 (2010) 3270--3273.
[260]  Burgers hierarchy: Multiple kink solutions and multiple singular kink solutions, Journal of the Franklin Institute 347 (2010) 618-626.
[261]  Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation (with H. Triki), Appl. Math. Comput., 216 (2010) 332-336.
[262]  A completely integrable system of coupled modified KdV equations, Journal of Nonlinear Optical Physics and Materials, 19 (1) (2010) In Press.
[263]  Integrable (2+1)-dimensional and (3+1)-dimensional breaking soliton equations, Physica Scripta, 81 (2010) 035005.
[264]  The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations, Applied Mathematics and Computation, 216 (2010) 1304-1309.
[265]  On Multiple Soliton Solutions for Coupled KdV-mKdV Equation, Non. Scie. Lett. A, (2010) In Press.
[266]  N-soliton solutions for the integrable bidirectional sixth-order Sawada-Kotera equation, Appl. Math. Comput. 216 (2010) 2317--2320.
[267]  M-component nonlinear evolution equations: multiple soliton solutions , Physica Scripta, (2010) In Press.
[268]  Analytic treatment for (2+1)-dimensional KdV-like and KP-like equations, (ZNA) Zeitschrift für Naturforschung A., (2010) In Press.
[269]  Bright solitons and multiple soliton solutions for a coupled modified KdV equations with time-dependent coefficients (with H. Triki) , Physica Scripta , (2010) In Press.
[270]  Analytical Methods: the next frontier towards nonlinear science, International Journal of Computer Mathematics, 87(5) (2010) 1040-1041
[271]  A study on KdV and Gardner equations with time-dependent coefficients and forcing terms , Appl Math Comput 217 (2010) 2277--2281.
[272]  Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients (with H. Triki), Communications in Nonlinear Science and Numerical Simulation, 16 (2011) 1122-1126.
[273]  Combined equations of Burgers hierarchy: multiple kink solutions and multiple singular kink solutions, Physica Scripta, (2010) 025001.
[274]  Non-integrable variants of Boussinesq equation with two solitons, Applied Mathematics and Computation, 217 (2010) 820--825.
[275]  Bright soliton solution to a generalized Burgers-KdV equation with time-dependent coefficients, (with H. Triki), Applied Mathematics and Computation, 217 (2010) 466--471.
[276]  The combined Laplace-Adomian method for handling singular integral equation of heat transfer, (with M. Mehanna) International J. of Nonlinear Science, 10 (2010) 245--249.
[277]  Two integrable extensions of the Kadomtsev-Petviashvili equation, Central European Journal of Physics, 91 (2011) 49--56.
[278]  Bright solitons and multiple soliton solutions for a coupled modified KdV equations with time-dependent coefficients, (with H. Triki) Physica Scripta, (2010) In Press.
[279]  Analytic treatment for (2+1)-dimensional KdV-like and KP-like equations", Zeitschrift für Naturforschung A. 65a (2010) 1--5.
[280]  Burgers hierarchy in (2+1)-dimensions: Multiple Kink Solutions and Multiple Singular Kink Solutions, International Journal of Nonlinear Science, 10 (1) (2010) 3--11.
[281]  Multiple kink solutions for M-component Burgers equations in(1+1)-dimensions and (2+1)-dimensions, Appl. Math. Comput., 217 (2010) 3564-3570.
[282]  Soliton solutions for fifth-order KdV equation and Kawahara equation with time-dependent coefficients, Physica Scripta, 82 (2010) In Press.
[283]  Completely integrable coupled potential KdV equations, Journal of Applied Mathematics and Informatics,29 (3/4) (2011) 847-858.
[284]  Soliton solutions of the KdV equation with higher-order corrections, Physica Scripta, (2010) 82 (2010) 045005 (6 pages).
[285]  Integrability of coupled KdV equations, Central European Journal of Physics, 9(3) (2011) 835-840.
[286]  Multiple soliton solutions and multiple singular soliton solutions of the modified KdV equation with first-order correction, Physica Scripta, 82 (2010) 055006.
[287]  Comment on " A note on A study on an integrable system of coupled KdV equations", Communications in Nonlinear Science and Numerical Simulation 16 (2011) , 2200-2201 .
[288]  Multiple soliton solutions for the Bogoyavlenskii's generalized breaking soliton equations and its extension form, Applied Mathematics and Computation, 217 (8) (2010) 4282-4288.
[289]  N-soliton solutions for the Vakhnenko equations and its generalized forms, Physica Scripta, 82 (2010) 065006.
[290]  Soliton solutions for seventh-order Kawahara equation with time dependent coefficients, Modern Physics Letters B, 25(9) (2011) 643-648 .
[291]  Multiple soliton solutions for a new coupled Ramani equation, Physica Scripta, 83 (2011) 015002.
[292]  Multiple-soliton solutions for extended shallow water wave equations, Studies in Mathematical Sciences, 1 (2010) 1-9.
[293]  A new fifth order nonlinear integrable equation: multiple soliton solutions, Physica Scripta, 83 (2011) 015012.
[294]  Dark solitons for a generalized Korteweg de-Vries equation with time-dependent coefficients, (with H. Triki) , Zeitschrift für Naturforschung A, 66 (2011) 199-204.
[295]  A new generalized fifth order nonlinear integrable equation, Physica Scripta, 83 (2011) 035003 .
[296]  Bright and dark solitons for a generalized Korteweg de-Vries-modified Korteweg de-vries equation with higher-order nonlinear terms and time-dependent coefficients, (with H. Triki), Canadian Journal of Physics, 89(3) (2011), 253-259.
[297]  Multiple soliton solutions for (2+1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations, Mathematical Methods in the Applied Sciences, 34 (2011) 1580-1586. .
[298]  Integrability of two coupled KP equations, Pramana Journal of Physics,77(2) (2011) 233--242 .
[299]  The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models, Communications in Nonlinear Science and Numerical Simulations, 16(10) (2011) 3881-3886.
[300]  Dark solitons for a combined potential KdV and Schwarzian KdV equations with t-dependent coefficients and forcing term, (with H. Triki), Applied Mathematics and Computation, 217 (2011) 8846-8851.
[301]  N-soliton solutions for shallow water waves equations in (1+1) and (2+1) dimensions, Applied Mathematics and Computation, 217 (2011) 8840-8845.
[302]  1-soliton solution of the $ZK(m,n,k)$ equation with generalized evolution and time-dependent coefficients (with H. Triki), Nonlinear Analysis Series B: Real World Applications, 12 (5) (2011) 2822-2825.
[303]  The regularization method for Fredholm integral equations of the first kind, Computers and Mathematics with Applications , 61(10) (2011) 2981-2986.
[304]  Solitary wave solutions for a K(m,n,p,q+r) equation with generalized evolution (with H. Triki), International Journal of Nonlinear Sciences, (2011) In Press.
[305]  Multiple-front waves for extended form of modified Kadomtsev-Petviashvili equation, Applied Mathematics and Mechanics, 32(7) 875-880 (2011) .
[306]  A reliable treatment of singular Emden-Fowler initial Value problems and boundary value problems, Applied Mathematics and Computation, 217 (24) (2011) 10387-10395.
[307]  The variational iteration method for solving systems of equations of Emden--Fowler type, International Journal of Computer Mathematics, 82(09) (2011) 1107--1115 .
[308]  Generalized (2+1)-dimensional breaking soliton equation, TWMS Journal of Applied and Engineering Mathematics,V.1, N.1, (2011), pp. 45-50.
[309]  Multiple-soliton solutions for a (3+1)-dimensional generalized KP equation, Communications in Nonlinear Science and Numerical Simulations, 17(2), (2012), 491-495.
[310]  Bright and dark solitons of an integrable equation governing short waves in a long-wave model with perturbation terms, (with H. Triki), Acta Physica Polonica B, 42 (2011) 1743--1754.
[311]  Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane-Emden equations of the first and second kinds, (with Randolph Rach), Kybernetes, 40, Issue(s) 9/10, (2011) In Press.
[312]  Multiple kink solutions for the (3+1) dimensional Burgers hierarchy, Physica Scripta, 84 (2011) 035001 .
[313]  New higher-dimensional fifth order nonlinear equations with multiple soliton solutions, Phys. Scr. 84 (2011) 025007.
[314]  Extended KP equations and extended system of KP equations: multiple-soliton solutions, Canadian Journal of Physics, (2011) In Press.
[315]  Multiple soliton solutions for a variety of coupled modified Korteweg-de Vries equation , Zeitschrift für Naturforschung A, XXX (2011) 1-7.
[316]  A new (2+1)-dimensional KdV equation and its extension to a new (3+1)-dimensional KP equation, Physica Scripta 84 (2011) 035010.
[317]  Bright and dark soliton solutions for a new fifth-order nonlinear integrable equation with perturbation terms, Journal of King Saud University (Science), (with H. Triki) (2011) In Press.
[318]  A study on two extensions of the Bogoyavlenskii-Schieff equation, Communications in Nonlinear Science and Numerical Simulation, 17 (4) (2012), 1500-1505
[319]  Distinct kinds of multiple soliton solutions for a (3+1)-dimensional generalized B-type Kadomtsev--Petviashvili equation, Physica Scripta, 84 (2011) 055006 .
[320]  The regularization-homotopy method for the linear and non-linear Fredholm integral equations of the first kind, ISPACS-Communications in Numerical Analysis, 1 (2011) 1-11.
[321]  Soliton solutions of the dispersive sine-Gordon and the dispersive sinh-Gordon equations with fourth spatial or spatio-temporal derivatives, Physica Scripta (2011) In Press.
[322]  A reliable study for extensions of the Bratu problem with boundary conditions, Mathematical Methods in the Applied Sciences, (2011) In Press.