[1] | Mahomed F M and Leach P G L 1985, The linear symmetries of a nonlinear differential equation, Quaestiones Mathematicae 8, 241-274. |
[2] | Steeb W H, Louw J A, Leach P G L and Mahomed F M 1986, Hamiltonian systems with three degrees of freedom, singular-point analysis and chaotic behavior, Phys. Rev. A. 33, 2131-2133. |
[3] | Sarlet W, Mahomed F M and Leach P G L 1987, Symmetries of non-linear defferenial equations and linearisation, J. Phys. A.: Math. and Gen. 20, 277-292. |
[4] | Euler N, Leach P G L, Mahomed F M and Steeb W H 1988, Symmetry vector elds and similarity solutions of a nonlinear eld equation describing the relaxation to a Maxwell Distribution, Int. J. of Theoretical Phys. 27, 717-723. |
[5] | Leach P G L and Mahomed F M 1988, Maximal subalgebra associated with a First Integral of a system possessing sl(3;R) algebra, J. Math. Phys. 29, 1807-1813. |
[6] | Mahomed F M and Leach P G L 1989, The Lie algebra sl(3;<) and Linearization, Quaestiones Mathematicae 12, 121-139. |
[7] | Mahomed F M and Leach P G L 1989, Lie algebras associated with scalar secondorder ordinary defferenial equations, J. Math. Phys. 30, 2770-2777. |
[8] | Mahomed F M and Leach P G L 1990, Symmetry Lie algebras of nth order ordinary defferenial equations, J. Math. Anal. and Applic. 151, 80-107. |
[9] | Mahomed F M and Leach P G L 1991, Contact symmetry algebras associated with scalar second-order ordinary defferenial equations, J. Math. Phys. 32, 2051-2055. |
[10] | Mahomed F M, Kara A H and Leach P G L 1993, Lie and Noether Counting Theorems for one-dimensional systems, J. Math. Anal. and Applic. 178, 116-129. |
[11] | Kara A H and Mahomed F M 1993, A note on the solutions of the Emden-Fowler equation Int. J. of Non-linear Mechanics 28, 379-384. |
[12] | Lopis A S and Mahomed F M 1993, A Linearization algorithm for second-order ordinary defferenial equations, S.A. Journal of Science 89, 328-330. |
[13] | Kara A H, Mahomed F M and Leach P G L 1994, Noether equivalence problem for particle Lagrangians, J. Math. Anal. and Applic. 188, 867-884. |
[14] | Mellin C M, Mahomed F M and Leach P G L 1994, Solutions of the generalized Emden-Fowler equations with two symmetries, Int. J. Non-linear Mechanics 29, 529-538. |
[15] | Adam A A, Mahomed F M and Kara A H 1994, Canonical Forms for Particle Lagrangians of the Linear Second-order Equation, Quaestiones Mathematicae 17(4), 469-477. |
[16] | Baikov V A, Gazizov R K, Ibragimov N H and Mahomed F M 1994, Closed Orbits and their Stable Symmetries 35(12), J. Math. Phys., 6525-6535. |
[17] | Kara A H and Mahomed F M 1995, Classification of First-Order Lagrangians on the Line, Int. J. of Theoretical Phys. 11(11), 2267-2274. |
[18] | Ibragimov N H, Kara A H and Mahomed F M 1998, Lie-Backlund and Noether Symmetries with Applications, Nonlinear Dynamics 15, 115-136. |
[19] | Adam A A and Mahomed F M 1998, Nonlocal Symmetries of First-order Equations IMA J. of Applied Mathematics 60, 1-12. |
[20] | Kara A H, Mahomed F M and Unal G 1999, Approximate symmetries and conservation laws with applications, Int. J. Theoretical Phys. 38, 2389-2399. |
[21] | Momoniat E and Mahomed F M 1999, The existence of contact transformations for evolution-type equations, J. Phys. A: Math. Gen. 33, 8721-8730. |
[22] | Mahomed F M and Qu C 1999, Approximate Conditional Symmetries and Application to a Nonlinear Wave Equation, Mathematical and Computational Applications 4, 225-232. |
[23] | Mahomed F M and Vawda F 2000, Application of Symmetries to Central Force Motion, Nonlinear Dynamics 21, 307-315. |
[24] | Mahomed F M and Qu C 2000, Approximate conditional symmetries for partial defferenial equations, J. Phys. A: Math. Gen. 33, 343-356. |
[25] | Kara A H and Mahomed F M 2000, Relationship between Symmetries and Conservation Laws, Int. J. Theoretical Phys. 39, 2000, 23-40. |
[26] | Wafo Soh C and Mahomed F M 2000, Symmetry breaking for a system of two linear second-order ordinary defferenial equations, Nonlinear Dynamics 22, 121-133. |
[27] | Wafo Soh C and Mahomed F M 2000, Non-static shear-free spherically symmetric charged perfect uid distributions: a symmetry approach, Class. Quantum Grav. 17, 3060-3072. |
[28] | Wafo Soh C and Mahomed F M 2000, A generalization of the Abel-Forsyth Formulas Via Group Methods, Nonlinear Dynamics 23(4), 377-389. |
[29] | Wafo Soh C and Mahomed F M 2000, Static perfect uid cylinders-new approach to Kramer's equations, J. Phys. A: Math. Gen. 33, 6817-6823. |
[30] | Kara A H, Mahomed F M and Qu C 2000, Approximate Potential Symmetries of Partial defferenial Equations, J. Phys. A: Math. Gen. 33, 6601-6613. |
[31] | Wafo Soh C and Mahomed F M 2001, Linearization criteria for a system of secondorder ordinary defferenial equations, Int. J. of Non-Linear Mech. 4, 671-677. |
[32] | Wafo Soh C and Mahomed F M 2001, Integration of stochastic ordinary defferenial equations from a symmetry standpoint, J. Phys. A: Math & Gen. 34, 177-192. |
[33] | Wafo Soh C and Mahomed F M 2001, Canonical forms for systems of two second-order ordinary defferenial equations, J. Phys. A: Math & Gen. 34, 2883-2911. |
[34] | Momoniat E, Mason D P and Mahomed F M 2001, Non-linear di usion of an axisymmetric thin liquid drop: group invariant solution and conservation law, Int. J. Non-Linear Mech. 36, 879-885. |
[35] | Changzheng Qu and Mahomed F M 2001, An extension of the Direct Method with Application, Quaestiones Mathematicae 24(1), 111-122. |
[36] | Edelstein R M, Govinder K S and Mahomed F M 2001, Solution of ordinary differential equations via nonlocal transformations, J. Phys. A: Math. & Gen. 34, 1141-1152. |
[37] | Johnpillai I K and Mahomed F M 2001, Singular invariant equation for the (1+1) Fokker-Planck equation, J. Phys. A: Math. & Gen. 34, 11033-11051. |
[38] | Wafo Soh C, Mahomed F M and Qu C 2002, Contact symmetry algebras of scalar ordinary defferenial equations, Nonlinear Dynamics 28, 213-230. |
[39] | Adam A A and Mahomed F M 2002, Integration of ordinary defferenial equations via nonlocal symmetries, Nonlinear Dynamics 30, 267-275. |
[40] | Johnpillai I K, Mahomed F M and Wafo Soh C 2002, Basis of joint invariants for (1+1) linear hyperbolic equations, J of Nonlinear Math Phys 9(2), 49-59. |
[41] | Kara A H and Mahomed F M 2002, A basis of conservation laws for partial defferenial equations, J of Nonlinear Math Phys 9(2), 60-72. |
[42] | Johnpillai I K and Mahomed F M 2003, Goursat problem for factorizable hyperbolic equations in two independent variables, Mathematical and Computational Applica-tions 8, 55-62. |
[43] | Pooe C A, Mahomed F M and Wafo Soh C 2003, Invariant solutions of the Black-Scholes equation, Mathematical and Computational Applications 8, 63-70. |
[44] | Mahomed F M, Qadir Asghar and Wafo Soh C 2003, Charged Spheres in General Relativity Revisited, Nuovo Cimento B 118, N.4, 373-381. |
[45] | Feroze T, Mahomed F M and Qadir A 2003, Non-static, spherically symmetric, shear-free, perfect uid solutions of Einstein's equations, Nuovo Cimento B 118, N.9, 895-902. |
[46] | Wafo Soh C and Mahomed F M 2004, Reduction of Order for Systems of Ordinary defferenial Equations, J of Nonlinear Math Phys 11(1), 13-20. |
[47] | Hayat T, Ahmed Naseer and Mahomed F M 2004, On solution of non-linear differential equation arising in gliding motion of bacteria, Applied Mathematics and Computation 148, 3, 743-752. |
[48] | Sjoberg A and Mahomed F M 2004, Non-local symmetries and conservation laws for one-dimensional gas dynamics equations, Applied Mathematics and Computation 150, 379-397. |
[49] | Pooe C A, Mahomed F M and Wafo Soh C 2004, Fundamental solutions for zero-coupon bond pricing models, Nonlinear Dynamics 36, 69-76. |
[50] | Moyyuddin M R, Hayat T, Mahomed F M, Asghar S and Siddiqui A M 2004, On solutions of some nonlinear defferenial equations arising in Newtonian and non-Newtonian uids, Nonlinear Dynamics 35, 229-248. |
[51] | Sjoberg A and Mahomed F M 2005, The association of non-local symmetries with conservation laws: applications to the heat and Burger's equations, Applied Math-ematics and Computation 168, 1098-1108. |
[52] | Khalique C M and Mahomed F M 2005, Conservation laws for equations related to soil water equations, Mathematical Problems in Engineering 2005(1), 141-150. |
[53] | Hayat T, Mahomed F M and Asghar S 2005, Peristaltic Flow of a Magnetohydrodynamic Johnson-Segalman Fluid, Nonlinear Dynamics 40, 375-385. |
[54] | Shih M, Momoniat E and Mahomed F M 2005, Approximate conditional symmetries and approximate solutions of the perturbed Fitzhugh-Nagumo equation, J. Math. Phys. 46, 1, 1-10. |
[55] | Feroze T, Mahomed F M and Qadir A 2006, The Connection Between Isometries and Symmetries of Geodesic Equations of the Underlying Spaces, Nonlinear Dynamics 45, 65-74. |
[56] | Johnpillai A G, Kara A H and Mahomed F M 2006, A basis of approximate conservation laws for PDEs with a small parameter, International J. of Nonlinear Mech. 41, 830-837. |
[57] | Hayat T, Momoniat E and Mahomed F M 2006, Endoscope Effects on MHD Peristaltic Flow of a Power-Law Fluid, Mathematical Problems in Engineering 7, 1-19. |
[58] | Kara A H and Mahomed F M 2006, Noether-type Symmetries and Conservation Laws Via Partial Lagrangians, Nonlinear Dynamics 45, 367-383. |
[59] | Hussain I, Mahomed F M and Qadir A 2007, Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordstrom Metric and Re-Scaling of Energy of a Test Particle, SIGMA, 3, 9 pages. |
[60] | Mahomed F M, Hayat T, Momoniat E and Asghar S 2007, Gliding motion of bacterium in a non-Newtonian slime, Nonlinear Analysis B, 8, 853-864. |
[61] | Hayat T, Ellahi R and Mahomed F M 2007, Exact solutions for Couette and Poiseuille ows for fourth grade uids, Acta Mechanica, 188, 69-79. |
[62] | Mahomed F M and Qadir A 2007, Linearization Criteria for a System of Second-Order Quadratically Semi-Linear Ordinary defferenial Equations, Nonlinear Dynamics, 48, 417-422. |
[63] | Mahomed F M 2007, Symmetry group Classification of ordinary defferenial equations: Survey of some results, Math Methods in the Applied Sciences, 30, 1995-2012. |
[64] | Kara A H, Mahomed F M, Naeem I andWafo Soh C 2007, Partial Noether Operators and rst integrals via partial Lagrangians, Math Methods in the Applied Sciences, 30, 2079-2089. |
[65] | Fredericks E and Mahomed F M 2007, Symmetries of rst-order stochastic ordinary defferenial equations revisited, Math Methods in the Applied Sciences, 30, 2013-2025. |
[66] | Hayat T and Mahomed F M 2007, Note on an exact solution for the pipe ow of a third grade uid, Acta Mech., 190, 233-236. |
[67] | Khan Marwat D N, Kara A H and Mahomed F M 2007, Symmetries, Conservation Laws and Multipliers via Partial Lagrangians and Noether's Theorem for Classically Non-Variational Problems, Int. J. Theoret. Phys., 46, 3022-3029. |
[68] | Hayat T, Mambili-Mamboundou H and Mahomed F M 2008, Unsteady solutions in a third grade uid lling the porous space, Mathematical Problems in Engineering, 2008, 1-12. |
[69] | Kara A H, Mahomed F M and Qadir A 2008, Approximate Symmetries and Conservation Laws of the Geodesic Equations for the Schwarzschild Metric, Nonlinear Dynamics, 51, 183-188. |
[70] | Browne P, Momoniat E and Mahomed F M 2008, A generalized Fitzhugh-Nagumo equation, Nonlinear Analysis A, 68, 1006-1015. |
[71] | Hayat T, Momoniat M and Mahomed F M 2008, Axial Couette ow of an electrically conducting uid in an annulus, Int. J. of Modern Phys. B, 22, 15, 2008, 2489-2500. |
[72] | Fredericks E, Mahomed F M, Momoniat E and Qadir A 2008, Constructing a space from the system of geodesic equations, Comp. Phys. Comm., 179, 438-442. |
[73] | Bharuthram R, Momoniat E, Mahomed F M, Singh S V and Islam M K 2008, Time evolution of ion acoustic double layers in an unmagnetized plasma, Physics of Plasmas, 15, 082304-4. |
[74] | Hayat T, Momoniat E and Mahomed F M 2008, Effects of an endoscope and an electrically conducting third grade uid in peristaltic motion, Int. J. Modern Phys B, 22, 23, 3997-4016. |
[75] | Naeem I and Mahomed F M 2008, First integrals for a general linear system of two second-order ODEs via a partial Lagrangian, J Phys A: Math. Theor., 41, 355207. |
[76] | Naz R, Mahomed F M and Mason D 2008, Comparison of di erent approaches to conservation laws for some partial defferenial equations in uid mechanics, Applied Mathematics and Computation, 205, 212-230. |
[77] | Hayat T, Mambili Mamboundou H, Momoniat E and Mahomed F M 2008, The Rayleigh problem for a third grade electrically conducting uid in a magnetic eld, J. Nonlinear Math. Phys., 15 (1), 77-90. |
[78] | Hayat T, Momoniat E and Mahomed F M 2008, Peristaltic MHD ow of third grade uid with an endoscope and variable viscosity, J. Nonlinear Math. Phys., 15 (1), 91-104. |
[79] | Naeem I and Mahomed F M 2008, Noether, Partial Noether operators and rst integrals for a linear system, J. Math. Anal. and Applic., 342, 70-82. |
[80] | Naz R, Mahomed F M and Mason D 2008, Symmetry solutions of a third-order ordinary defferenial equation which arises from Prandtl boundary layer equations, J. Nonlinear Math. Phys., 15 (1), 179-191. |
[81] | Mahomed F M and Qadir A 2008, Conditional linearizability criteria for third order ordinary defferenial equations, J. Nonlinear Math. Phys., 15 (1), 124-133. |
[82] | Hayat T, Ellahi R and Mahomed F M 2008, Exact solutions for thin lm ow of a third grade uid down an inclined plane, Chaos, Solitons and Fractals, 38, 1336-1341. |
[83] | Fredericks E and Mahomed F M 2008, A formal approach for handling Lie point symmetries of scalar rst-order It stochastic ordinary defferenial equations, J. Non-linear Math. Phys., 15 (1), 44-59. |
[84] | Mahomed F M 2008, Complete invariant characterization of scalar linear (1+1) parabolic equations, J. Nonlinear Math. Phys., 15 (1), 112-123. |
[85] | Naeem I and Mahomed F M 2008, Partial Noether operators and rst integrals for a system with two degrees of freedom, J. Nonlinear Math. Phys., 15 (1), 165-178. |
[86] | Khalique C, Mahomed F M and Muatjetjeja B 2008, Lagrangian formulation of a generalized Lane-Emden equation and double reduction, J. Nonlinear Math. Phys., 15 (2), 152-161. |
[87] | Ali S, Mahomed F M and Qadir A 2008, Complex Lie symmetries for variational problems, J. Nonlinear Math. Phys., 15 (1), 25-35. |
[88] | Hayat T, Mambili-Mamboundou H and Mahomed F M 2009, A note on some solutions for the ow of a fourth grade uid in a porous space, Nonlinear Analysis B, 10, 368-374. |
[89] | Hayat T, Ellahi R and Mahomed F M 2009, Exact solution of a thin lm ow of an Oldroyd 6-constant uid over a moving belt, Comm. Nonl. Sci. and Num. Simulations, 14, 133-139. |
[90] | Naz R, Mason D P and Mahomed F M 2009, Conservation laws and conserved quantities for laminar two-dimensional and radial jets, Nonlinear Analysis B, 10 (5), 2641-2651. |
[91] | Naz R, Mason D P and Mahomed F M 2009, Conservation laws via partial Lagrangian and group invariant solutions for radial and two-dimensional and free jets, Nonlinear Analysis B, 10 (6), 3457-65. |
[92] | Hayat T, Ellahi R and Mahomed F M 2009, The analytical solutions for MHD ow of a third order uid in a porous medium, Zeitschrift fur Naturforschung Redaktion, 64a, 531-539. |
[93] | Hayat T, Mambili-Mamboundou H, Khalique C M and Mahomed F M 2009, Effect of magnetic eld on the ow of a fourth order uid, Nonlinear Analysis B, 10 (6), 3413-19. |
[94] | Molati M, Hayat T and Mahomed F M 2009, Rayleigh problem for a MHD Sisko uid, Nonlinear Analysis B, 10 (6), 3428-34. |
[95] | Ali S, Mahomed F M and Qadir A 2009, Complex Lie symmetries for scalar second-order ordinary defferenial equations, Nonlinear Analysis B, 10 (6), 3335-44. |
[96] | Mahomed F M, Naeem I and Qadir A 2009, Conditional linearizability criteria for a system of third-order ordinary defferenial equations, Nonlinear Analysis B, 10 (6), 3404-12. |
[97] | Khalique C M and Mahomed F M 2009, Soil water redistribution and extraction ow models: conservation laws, Nonlinear Analysis B, 10, 2021-2025. |
[98] | Johnpillai A G, Kara A H and Mahomed F M 2009, Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter, Comp. and Applied Math., 223, 508-518. |
[99] | Khalique C M, Mahomed F M and Ntsime B P 2009, Group Classification of the generalized Emden-Fowler-type equation, Nonlinear Analysis B, 10 (6), 3387-95. |
[100] | Hussain I, Mahomed F M and Qadir A 2009, Proposal for determining the energy of gravitational waves by using approximate symmetries of defferenial equations, Physical Rev. D, 79, 125014. |
[101] | Mahomed F M and Qadir A 2009, Conditional linearizability of fourth-order semilinear ordinary defferenial equations, J. Nonlinear Math. Phys., 16, 1, 165-178. |
[102] | Mambili-Mamboundou H, Khan M, Hayat T and Mahomed F M 2009, Reduction and solutions for MHD ow of a Sisko uid in a porous medium, J Porous Media, 12 (7), 695-714. |
[103] | Molati M, Mahomed F M andWafo Soh C 2009, A group Classification of a system of partial defferenial equations modeling ow in collapsible tubes, J. Nonlinear Math. Phys., 16, 1, 179-208. |
[104] | Abbasbandy S, Hayat T, Mahomed F M and Ellahi R 2009, On comparison of exact and series solutions for thin lm ow of a third grade uid, Int. J. for Numerical Methods in Fluids, 61, 987-994. |
[105] | Hussain I, Mahomed F M and Qadir A 2009, Approximate Noether symmetries of the geodesic equations for the charged-Kerr Spacetime and rescaling of energy, General Relativity and Gravitation, 41, 2399-2414. |
[106] | Mahomed F M and Qadir A 2009, Invariant linearization criteria for systems of cubically nonlinear second-order ordinary defferenial equations, J. Nonlinear Math. Phys., 16, No. 3, 283-298. |
[107] | Naeem I and Mahomed F M 2009, Approximate partial Noether operators and rst integrals for coupled nonlinear oscillators, Nonlinear Dynamics, 57, 303-311. |
[108] | Ellahi R, Hayat T, Mahomed F M and Asghar S 2010, Effects of slip on the nonlinear ows of a third grade uid, Nonlinear Analysis B, 11, Issue 1, 139-146. |
[109] | Elahi R, Hayat T, Mahomed F M and Zeeshan A 2010, Analytic solutions for MHD ow in an annulus, Comm. Nonlinear Sci. and Num. Simulat., 15, Issue 5, 1224-1227. |
[110] | Ellahi R, Hayat T, Mahomed F M and Zeeshan A 2010, Exact solutions for ows of an Oldroyd 8-constant uid with nonlinear slip conditions, Comm. Nonlinear Sc. and Num. Simulat., 15, Issue 2, 322-330. |
[111] | Hussain I, Mahomed F M and Qadir A 2010, Approximate Partial Noether Operators of the Schwarzschild Spacetime, J. Nonlinear Math. Phys., 17, No. 1, 13-25. |
[112] | Bokhari Ashfaque H, Al-Dweik Ahmad Y, Mahomed F M and Zaman F D 2010, Conservation laws of a nonlinear (n+1) wave equation, Nonlinear Analysis B, 11, Issue 4, 2862-2870. |
[113] | Moitsheki R J, Hayat T, Malik M Y and Mahomed F M 2010, Symmetry analysis for the nonlinear model of di usion and reaction in porous catalysts, Nonlinear Analysis B, 11, Issue 4, 3031-3036. |
[114] | Johnpillai A G, Kara A H and Mahomed F M 2010, Conservation laws of a nonlinear (1+1) wave equation, Nonlinear Analysis B, 11, Issue 4, 2237-2242. |
[115] | Bokhari Ashfaque H, Al-Dweik Ahmad Y, Zaman F D, Kara A H and Mahomed F M 2010, Generalization of the double reduction theory, Nonlinear Analysis B, 11, Issue 5, 3763-3769. |
[116] | Bokhari Ashfaque H, Mahomed F M and Zaman F D 2010, Symmetries and Integrability of a Fourth-Order Euler-Bernoulli Beam Equation, J. Math. Phys., 51, 053517-9. |
[117] | Naz R, Mahomed F M and Hayat T 2010, Conservation laws for third-order variant Boussinesq system, Applied Mathematics Letters, 23, 883-886. |
[118] | Ellahi R, Hayat T, Mahomed F M and Zeeshan A 2010, Fundamental ows with nonlinear slip conditions: exact solutions, ZAMP, 61, 877-888. |
[119] | Ellahi R, Hayat T, Mahomed F M 2010, Generalized Couette ow of third grade uid with slip: The exact solutions, Zeitschrift fur Naturforschung Redaktion, 65a, 1-6. |
[120] | Fredericks E, Mahomed F M and Masike K 2010, Lie In nitesimal Conserved Quantities for Ito Stochasitc ODEs, Mathematical and Computational Applications, 15, No 4, 601-612. |
[121] | Molati M and Mahomed F M 2010, Group Classification of Coupled Di usion System with Applications in Soil Science, Mathematical and Computational Applica-tions, 15, No 4, 697-708. |
[122] | Naeem I and Mahomed F M 2010, Approximate First Integrals for a System of Two Coupled van der Pol Oscillators with Linear Di usive Coupling, Mathematical and Computational Applications, 15, No 4, 720-731. |
[123] | Naz R, Naeem I and Mahomed F M 2010, Conservation Laws and Conserved Quantities for Laminar Radial Jets with Swirl, Mathematical and Computational Appli-cations, 15, No 4, 742-761. |
[124] | Farooq M U, Mahomed F M and Rashid M A 2010, Integration of Systems of ODEs via Nonlocal Symmetry-Like Operators, Mathematical and Computational Applications, 15, No 4, 585-600. |
[125] | Hayat T, Abelman S, Momoniat E and Mahomed F M 2010, Magnetic Field and Endoscope In uences on Peristaltic Transport: an Exact Solution, Mathematical and Computational Applications, 15, No 4, 638-657. |
[126] | Momoniat E and Mahomed F M 2010, Symmetry Reduction and Numerical Solution of a Third-Order ODE from Thin Film Flow, Mathematical and Computational Applications, 15, No 4, 709-719. |
[127] | Molati M and and Mahomed F M 2010, A group Classification of the general secondorder coupled di usion system J. Phys. A: Mat. Theor., 43, 415203-18. |
[128] | Johnpillai A G, Kara A H and Mahomed F M 2010, Conservation laws of some non-variational perturbed PDEs via a partial variational approach, Int. J. Modern Phys. B, 24(22) 4253-4267. |
[129] | Bokhari Ashfaque H, Al-Dweik Ahmad Y, Kara A H, Mahomed F M, Zaman F D 2011, Double reduction of a nonlinear (2+1) wave equation via conservation laws Commun. in Nonl. Sc. and Num. Sim., 16, Issue 3, 1244-1253. |
[130] | Hayat T, S. N. NEOSSI Nguetchue and Mahomed F M 2011, Transient Hydrodynamic Flow of a Viscous Fluid, Int. J. Modern Phys. B, 25, No. 19, 25332542. |
[131] | Ali S, Mahomed F M, Qadir Asghar 2011, Linearizability Criteria for Systems of Two Second-Order defferenial Equations by Complex Methods, Nonlinear Dynamics, to appear. |
[132] | Naz R, Naeem I and Mahomed F M 2011, First Integrals for Two Linearly Coupled Nonlinear Du ng Oscillators, Mathematical Problems in Engineering, 2011, Article ID 831647, 14 pages, doi:10.1155/2011/831647. |
[133] | Farooq M Umar, Ali S, Mahomed F M 2011, Two-dimensional systems that arise from the Noether Classification of Lagrangians on the line, Applied Mathematics and Computation, 217, 69596973. |
[134] | Molati M, and Mahomed F M 2011, Symmetry Classification of collapsible tube model incorporating tension, Commun. in Nonl. Sc. and Num. Sim., in press. |
[135] | Ayub Muhammad, Khan Masood and Mahomed F M 2011, Algebraic Linearization Criteria for Systems of Second-Order Ordinary defferenial Equations, Nonlinear Dynamics, in press. |
[136] | Johnpillai A G, Khalique C M and Mahomed F M 2011, Lie point symmetries, partial Noether operators and rst integrals of the Painlev e-Gambier equations, Nonlinear Analysis A, in press. |
[137] | Naz Rehana and Mahomed F M 2011, A note on the Lie symmetries of complex partial defferenial equations and their split real systems, Pramana, 77, No. 3, 483491. |
[138] | Safdar M, Mahomed F M and Ali S 2011, Linearization of systems of four secondorder ordinary defferenial equations, Pramana, 77, No. 3, 581594. |
[139] | Jamil Mubasher, Mahomed F M, and Momeni D 2011, Noether Symmetry Approach in f(R) Tachyon Model, Phys Lett B, in press. |
[140] | Hussain Ibrar, Jamil Mubasher and Mahomed F M 2011, Noether gauge symmetry approach in f(R) gravity, Astrophys Space Sci, in press. |
[141] | Mahomed F M and Qadir Asghar 2012, Classification of Ordinary defferenial Equations by Conditional Linearizability and Symmetry, Commun. in Nonl. Sc. and Num. Sim., 17, 573584. |
[142] | Mahomed F M and Leach P G L 1988, Normal Forms for Third Order Equations, Proceedings of theWorkshop on Finite Dimensional Integrable Nonlinear Dynamical Systems, World Scientic Publications, Singapore, 178-189. |
[143] | Kara A H, Mahomed F M and Adam A A 1994, Reduction of defferenial equations using Lie and Noether symmetries associated with rst integrals, Lie Groups and Their Applications 1 No. 1, 137-145. |
[144] | Adam A A, Mahomed F M and Kara A H 1994, New solutions of the Abel equation, Lie Groups and Their Applications 1 No. 1, 1-10. |
[145] | Vawda F and Mahomed F M 1994, Closed Orbits and their Exact symmetries, Lie Groups and Their Applications 1 No. 2, 81-97. |
[146] | Kara A H, Vawda F E and Mahomed F M 1994, Symmetries of rst integrals and solutions of defferenial equations, Lie Groups and Their Applications 1 No. 2, 27-48. |
[147] | Mahomed F M and Vawda F 1996, Bertrand's theorem and its generalization in classical mechanics, defferenial Equations and Chaos: Lectures on selected topics, Ibragimov N H, Mahomed F M, Mason D P and Sherwell D eds, New Age International Publishers, New Delhi, 267-303. |
[148] | Adam A A and Mahomed F M 1996, A nonlocal symmetry method for rst-order equations, Modern Group Analysis VI New Age International Publishers, Ibragimov N H and Mahomed F M eds, New Delhi, 315-326. |
[149] | Ibragimov N H, Kara A H and Mahomed F M 1996, New identities connecting the Euler-Lagrange, Lie-Backlund and Noether Operators, Modern Group Analysis VI New Age International Publishers Ibragimov N H and Mahomed F M eds, New Delhi, 281-287. |
[150] | Kara A H and Mahomed F M 1998, Action of Lie-Backlund Symmetries on Conservation Laws, Modern Group Analysis VII Ibragimov N H, Naqvi R and Straume E eds, Trondheim Press, Norway, 175-180. |
[151] | Ibragimov N H, Khalique C M and Mahomed F M 1998, All Linear Ordinary Differential Equations admitting Contact Symmetries, Modern Group Analysis VII N H Ibragimov, R Naqvi and E Straume eds, Trondheim Press, Norway, 155-160. |
[152] | Narain O K, Mahomed F M and Qu C 2001, Approximate conditional symmetries of nonlinear heat equations, Modern Group Analysis VIII Baikov V A, Gazizov R K, Ibragimov N H and Mahomed F M eds, Usatu Publishers, Ufa, Russia, 133-135. |
[153] | Wafo Soh C and Mahomed F M 2001, Linearizable Abel equations: an application of Lie-Tresse theorem, Modern Group Analysis VIII Baikov V A, Gazizov R K, Ibragimov N H and Mahomed F M eds, Usatu Publishers, Ufa, Russia, 152-153. |
[154] | Mahomed F M and Pooe C A 2003, Invariant equations for (1+1) linear parabolic equations, Proceedings of the International Conference Modern Group Analysis 9 (Mogran 9), 16th ISNA, Editors O V Rudenko and O A Sapozhnikov, Moscow State University, Moscow, 525-528. |
[155] | Khalique C M and Mahomed F M 2003, Conservation laws and associated symmetries for a class of (2+1) nonlinear evolution equations, Proceedings of the International Conference Modern Group Analysis 9 (Mogran 9), 16th ISNA, Editors O V Rudenko and O A Sapozhnikov, Moscow State University, Moscow, 595-598. |
[156] | Hayat T, Ravindran R, Momoniat E and Mahomed F M 2006, Numerical study of rotating ow with slip condition, International Conference on Application of uid mechanics in Industry and Environment, Aug 28-31, 2006. Editors B.S. Dandapat and B.S. Mazumdar Research Publishing Chennai, Singapore, 233-240. |
[157] | Ibragimov N H and Mahomed F M 1996, Ordinary defferenial Equations CRC Handbook of Lie Group Analysis of defferenial Equations, Ibragimov N H ed, Chap 8, Vol III, CRC Press, Boca Raton, 191-213. |
[158] | Hayat T, Qadir A and Mahomed F M 2005, Flows of an Oldroyd 6-Constant Fluid, Far East Journal of Applied Mathematics 21(1), 1-15. |
[159] | Johnpillai I K and Mahomed F M 2005, Equivalence problem for scalar linear (1+1) hyperbolic equations, Problems of Nonlinear Analysis in Engineering Systems 11, No.1(22), 63-74 [Invited paper for Russian journal]. |
[160] | Naz R, Mason D P and Mahomed F M 2008, Physical conserved quantities for the axisymmetric liquid free and wall jets, Proceedings of World Academy of Science, Engineering and Technology, vol 43, Sept 2008, ISSN 284-286. |
[161] | Naeem I, Naz R and Mahomed 2010, First Integrals for Systems via Complex Partial Lagrangians, RECENT ADVANCES in BUSINESS ADMINISTRATION, ISSN 1790-5109 |
[162] | Mahomed F M and Leach P G L 1987, Equivalence Classes of defferenial Equations in Nonlinear Evolutions, Proceedings of the IVth Workshop on Nonlinear Evolution Equations and Dynamical Systems, J er^ome J P Leon ed, World Scientic Publications, Singapore, 781-790. |
[163] | Lopis A S and Mahomed F M 1992, A Linearization Algorithm for defferenial Equations using Reduce, Proceedings of the 18th Sanum Meeting, Durban, 124-129. |
[164] | Mahomed F M, Kara A H and Leach P G L 1993, Symmetries of Particle Lagrangians in Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, Proceedings of the International Workshop, Acireale, N H Ibragimov, M Torrisi and A Valenti eds, Kluwer Academic Publishers, Dordrecht, 273-276. |
[165] | Mahomed F M, Kara A H and Adam A A 1993, Canonical forms for particle Lagrangians for Linear Equations, Modern Group Analysis and Problems of Mathematical Modelling, Proceedings of the XI Russian Colloquium Samara, N H Ibragimov, L M Berkovich and V E Voskresensky eds, Samara Publishers, Russia, 125-133. |
[166] | Leach P G L and Mahomed F M 1994, Symmetries of defferenial Equations: An introduction to The How, The Why and the Wherefore, Proceedings of the International Workshop: From Ordinary defferenial Equations to Deterministic Chaos, University of Durban-Westville Press, Durban, 321-384. |
[167] | Vawda F, Kara A H and Mahomed F M 1994, Inverse Problems and Invariance in the Calculus of Variations: An Overview, Proceedings of the International Workshop: From Ordinary defferenial Equations to Deterministic Chaos, University of Durban-Westville Press, Durban, 275-284. |
[168] | Vawda F and Mahomed F M 1994, Bertrand's Theorem and Exact Symmetries, Proceedings of the 14th IMACS Conference, Ames W F ed, Atlanta (USA), 474-477. |
[169] | Kara A H and Mahomed F M 1998, Symmetries, conservation laws and their applications, Proceedings of the Joint ISAMM/FRD Workshop on Symmetry Analysis and Mathematical Modelling, FRD Publications, Pretoria, 124-135. |
[170] | Mahomed F M 1998, Symmetry, Proceedings of the Joint ISAMM/FRD Workshop on Symmetry Analysis and Mathematical Modelling, FRD Publications, Pretoria, 59. |
[171] | Mahomed F M 2000, Invited Hanno Rund Lectures on Symmetry Analysis, in Proceedings of the 3rd Hanno Rund Conference on defferenial Equations and Applications, University of Natal, Durban, 13-16 Sept 2000, J. Banasiak ed, 10-68. |
[172] | Mahomed F M 2000, Invited lecture at the 44th Annual South African Mathematical Society Congress `Recent trends in symmetry analysis of defferenial equations', April 2002, SAMS Notices, vol 33, no. 1, 11-40. |
[173] | Mahomed F M 2003, Group Classication of ODEs: Survey of Some Results, Proceedings of the Workshop on Applications of Symmetry Methods, QAU, Islamabad, 1-14. |
[174] | Mahomed F M 2003, Symmetries and Conservation Laws for DEs: An Example, Proceedings of the Workshop on Applications of Symmetry Methods, QAU, Islamabad, 15-22. |
[175] | Kashif A R, Mahomed F M and Qadar Asghar 2007, Symmetry Classication and Invariant Characterization of Two-dimensional Geodesic Equations, Mathematical Physics Proceedings of the 12th Regional Conference, Pakistan, edited by M Jamil Aslam, Faheem Hussain, Asghar Qadir, Riazuddin and Hamid Saleem, World Scientic Publications, 369-374. |