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.


Fazal Mahmood Mahomed

Editorial Board Member of International Journal of Theoretical and Mathematical Physics

Professor, Director Centre for Differential Equations, Continuum Mechanics and Applications, Wits 2050, RSA, South Africa

Research Areas

Algebraic and Operator Approaches to Differential Equations and Applications

Education

1989Ph.DUniversity of the Witwatersrand
1987M.ScUniversity of the Witwatersrand (Distinction)
1985B.ScUniversity of the Witwatersrand (First Class)
1984B.ScUniversity of Durban-Westville

Experience

17 June to 16 July 2008 Visiting Professor in the Department of Mathematics and Statistics at University of New South Wales, Australia
1 Jan to 28 Feb 2006; 20 Nov to 19 Dec 2010Visiting Professor at the Centre for Advanced Mathematics and Physics, NUST, Islamabad, Pakistan
27 Sept to 6 Nov 2002; 1 Nov to 31 Dec 2005; 17 July 2008 to 11 May 2009Visiting Professor in Dept of Mathematics, Quaid-i-Azam University, Islamabad
2 Aug to 13 Aug 2002 Visiting Professor at the Institute for Symmetry Analysis and Mathematical Modelling, University of North-West, South Africa
2 Mar to 28 April 2002, 21 May to 9 July 09 Visiting Professor in the Department of Mathematics and Statistics at King Fahd University of Petroleum and Minerals, Saudi Arabia
2002-presentFull Professor in the School of Comp. and Applied Maths, Wits
1999-2002Reader in the School of Comp. and Applied Maths, Wits
1994-1998Senior Lecturer in the Dept of Comp. and Applied Maths, Wits
1989-1993Lecturer in the Dept of Comp. and Applied Maths, Wits

Academic Achievement

University Research Committee Award (1990, 1991)
Mellon Foundation Research Award (Oct 1995 { Oct 1998)
Vice-Chancellor's Research Award for Research Excellence (Oct 1997)
Cited by Wits Science for research excellence in Science (Nov 2008, June 2010)
Biographical profile included in Who's Who in the World 2012, 29th Edition for outstanding achievements

Membership

Membership of Centres, National Societies and National Committees: South African Mathematical Society (SAMS) (1989-), Honorary member since 2004
Centre for Nonlinear Studies (1989-1996)
Centre for Symmetry Analysis and Di_erential Equations (1997)
Centre for Di_erential Equations, Continuum Mechanics and Applications Chairman of the First Workshop on Di_erential Equations, Continuum Mechanics and Applications, Johannesburg, Sept 1999
South African National Committee for the International Mathematical Union (IMU) (June 1997-June 2001)
Council member of SAMS (June 1999-Oct 2001) in the portfolio Scienti_Activities
Re-appointed for second term (Nov 2001-Nov 2003)
Honorary member of SAMS
World Mathematical Year 2000 (WMY2000) National Coordinator
SAMS National Committee for WMY2000 Gold Medal Awards
Referee for Mathematics and Applied Mathematics Programmes at Universities of Venda and North-West
Co-chairman of the Workshop to commemorate the 60th birthday of Professor Peter Leach, Johannesburg, May 2002
Organizing Committee of MISGSA held at Wits, 2005, 2006, 2008
Chairman of the Workshop to commemorate the 65th birthday of Professor D P Mason, Johannesburg, Aug 2009
Fellow of the Royal Society of South Africa

Publications: Conferences/Workshops/Symposiums/Journals/Books

[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.