Article ID Journal Published Year Pages File Type
4640009 Journal of Computational and Applied Mathematics 2011 11 Pages PDF
Abstract

In this work, a new generalized Jacobi elliptic function rational expansion method is based upon twenty-four Jacobi elliptic functions and eight double periodic Weierstrass elliptic functions, which solve the elliptic equation ϕ′2=r+pϕ2+qϕ4ϕ′2=r+pϕ2+qϕ4, is described. As a consequence abundant new Jacobi–Weierstrass double periodic elliptic functions solutions for (3+1)-dimensional Kadmtsev–Petviashvili (KP) equation are obtained by using this method. We show that the new method can be also used to solve other nonlinear partial differential equations (NPDEs) in mathematical physics.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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