Jacobi Elliptic Function Solutions of Three Coupled Nonlinear Physical Equations

Author:

Hassan M. M.1,Khater A. H.2

Affiliation:

1. Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt

2. Mathematics Department, Faculty of Science, Cairo University, Beni-Suef, Egypt

Abstract

Abstract The Jacobi elliptic function solutions of coupled nonlinear partial differential equations, including the coupled modified KdV (mKdV) equations, long-short-wave interaction system and the Davey- Stewartson (DS) equations, are obtained by using the mixed dn-sn method. The solutions obtained in this paper include the single and the combined Jacobi elliptic function solutions. In the limiting case, the solitary wave solutions of the systems are also given. - PACS: 02.30.Jr; 03.40.Kf; 03.65.Fd

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

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