Title of article
Symmetries and exact solutions of KP equation with an arbitrary nonlinear term
Author/Authors
Elwakil, S. A. Mansoura University - Faculty of Science - Theoretical Physics Group, Egypt , El-Hanbaly, A. M. Mansoura University - Faculty of Science - Theoretical Physics Group, Egypt , El-Shewy, E. K. Mansoura University - Faculty of Science - Theoretical Physics Group, Egypt , El-Kamash, I. S. Mansoura University - Faculty of Science - Theoretical Physics Group, Egypt
From page
93
To page
102
Abstract
The generalized KP (GKP) equations with an arbitrary nonlinear term model and characterize many nonlinear physical phenomena. The symmetries of GKP equation with an arbitrary nonlinear term are obtained. The condition that must satisfy for existence the symmetries group of GKP is derived and also the obtained symmetries are classified according to different forms of the nonlinear term. The resulting similarity reductions are studied by performing the bifurcation and the phase portrait of GKP and also the corresponding solitary wave solutions of GKP equation are constructed.
Keywords
Generalized KP equation . Lie point symmetries . Bifurcation. Solitary solutions
Journal title
Journal of Theoretical and Applied Physics
Journal title
Journal of Theoretical and Applied Physics
Record number
2657775
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