Nonlocal Symmetries and the Complete Symmetry Group of 1 + 1 Evolution Equations

Senzosenkosi Mandlakayise. Myeni1, P. G. L. Leach1
1School of Mathematical Sciences, Howard College, University of KwaZulu-Natal , 4041 , Durban , Republic of South Africa E-mail: [email protected] [email protected]

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Andriopoulos K, 2001, J. Math. Anal. Appl., 262, 256, 10.1006/jmaa.2001.7570

Andriopoulos K, 2002, J. Nonlinear Math. Phys., 9, 10, 10.2991/jnmp.2002.9.s2.2

Andriopoulos , K and Leach , P G L . 2005 . Newtonian Economics, in Group Analysis of Differential Equations , 134 – 142 . Nicosia : University of Cyprus .

Bouquet S É, 2002, J. Nonlinear Math. Phys., 9, 11

Head A K, 1993, a PC program for Lie analysis of differential equations, Comp. Phys. Commun., 77, 241

Krause J, 1994, J. Math. Phys., 35, 5734, 10.1063/1.530708

Krause , J . 1995 . On the complete symmetry group of the Kepler problem, in Proceedings of the XXth International Colloquium on Group Theoretical Methods in Physics , Edited by: Arima , A . 286 – 290 . Singapore : World Scientific .

Leach P G L, 2001, J. Nonlinear Math. Phys., 8, 475, 10.2991/jnmp.2001.8.4.4

Leach P G L, 2003, J. Math. Phys., 44, 4090, 10.1063/1.1576903

Leach P G L, 2004, J. Math. Phys., 45, 3590, 10.1063/1.1781748

Lemmer R L, Arab J. Math. Sci., 5, 1

Logan J D, 1994, An Introduction to Nonlinear Partial Differential Equations

Mahomed F M, 1993, J. Math. Anal. Appl., 178, 116, 10.1006/jmaa.1993.1295

Morozov V V, 1958, Izv. Vuz. Mat., 5, 161

Mubarakzyanov G M, 1963, Izv. Vuz. Mat., 32, 114

Mubarakzyanov G M, 1963, Izv. Vuz. Mat., 34, 99

Mubarakzyanov G M, 1963, Izv. Vuz. Mat., 35, 104

Nucci M C, 2002, J. Nonlinear Math. Phys., 9, 110, 10.2991/jnmp.2002.9.s2.10

Sherring J, 1997, Math. Comput. Model., 25, 153, 10.1016/S0895-7177(97)00066-6

Sjoberg A, 2004, Appl. Math. Comput., 150, 379