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New generalized Jacobi elliptic function expansion method
Journal article   Peer reviewed

New generalized Jacobi elliptic function expansion method

M.F. El-Sabbagh, A.T. Ali and Ahmad Ali
Communications in nonlinear science & numerical simulation, Vol.13(9), pp.1758-1766
11/2008
DOI: https://doi.org/10.1016/j.cnsns.2007.04.014

Abstract

(3 + 1)-Dimensional Kadmtsev–Petviashvili equation New generalized Jacobi elliptic function expansion method Solitary wave solutions
A new generalized Jacobi elliptic function expansion method is described and used for constructing many new exact travelling wave solutions for nonlinear partial differential equations (PDEs) in a unified way. We obtain many new Jacobi and Weierstrass double periodic elliptic function solutions for (3+1)-dimensional Kadmtsev–Petviashvili (KP) equation. This method can be applied to many other equations.

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