Journal of Applied Mathematics
Volume 2013 (2013), Article ID 258396, 9 pages
http://dx.doi.org/10.1155/2013/258396
Research Article

Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics

Khaled A. Gepreel1,2

1Math Departement, Faculty of Science, Zagazig University, Zagazig, Egypt
2Math Departement, Faculty of Science, Taif University, Taif, Saudi Arabia

Received 2 April 2013; Accepted 10 May 2013

Academic Editor: Abdel-Maksoud A. Soliman

Copyright © 2013 Khaled A. Gepreel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical physics via the generalized nonlinear Klein-Gordon equation and the classical Boussinesq equations. As a result, some new generalized Jacobi elliptic function-like solutions are obtained by using this method. This method is more powerful to find the exact solutions for nonlinear partial differential equations.