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Volume 6, Issue 1 (2016), Pages [1] - [87]
LIE SYMMETRIES AND GENERALIZED SOLUTIONS OF THE
[1] B. Kent Harrison and F. B. Estabrook, Geometric approach to invariance groups and solution of partial differential systems, J. Math. Phys. 12 (1971), 653-666.
[2] B. Kent Harrison, The differential form method for finding symmetries, SIGMA 1 (2005), Paper 001, 12 pages.
[3] B. Kent Harrison, Differential form symmetry analysis of two equations cited by Fushchych, Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602 U.S.A. 1 (1997), 21-33.
[4] Abdul-Majid Wazwaz, Partial Differential Equations and Solitary Waves Theory, Nonlinear Physical Sciences, Springer,
[5] Mehdi Nadjafikhah and Seyed-Reza Hejazi, Lie symmetries and solutions of KdV equation, Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran, International Mathematical Forum 4(4) (2009), 165-176.
[6] C. A. G. Ìomez Sierra, M. Molati and M. P. Ramollo, Exact solutions of a generalized KdV-mKdV equation, International Journal of Nonlinear Science 13(1) (2012), 94-98.
[7] G. W. Bluman and S. Kumei, Symmetries and Differential Equations, Springer Verlag,
[8] P. J. Olver, Applications of Lie Groups to Differential Equations, Second Edition, GTM, Vol. 107, Springer Verlag,
[9] Francesco Oliveri, Lie symmetries of differential equations: Classical results and recent contributions, Department of Mathematics, University of Messina, Contrada Papardo, Viale Ferdinando Stagno d’Alcontres 31, I-98166 Messina, Italy, Symmetry 2 (2010), 658-706; doi:10.3390/sym2020658.