Journal of Applied Mathematics
Volume 2013 (2013), Article ID 767380, 16 pages
http://dx.doi.org/10.1155/2013/767380
Research Article

New Exact Solutions for New Model Nonlinear Partial Differential Equation

A. Maher,1 H. M. El-Hawary,1 and M. S. Al-Amry2

1Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
2Department of Mathematics, Faculty of Science and Education, Aden University, Aden, Yemen

Received 10 February 2013; Accepted 20 April 2013

Academic Editor: Anjan Biswas

Copyright © 2013 A. Maher et al. 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

In this paper we propose a new form of Padé-II equation, namely, a combined Padé-II and modified Padé-II equation. The mapping method is a promising method to solve nonlinear evaluation equations. Therefore, we apply it, to solve the combined Padé-II and modified Padé-II equation. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions, trigonometric functions, rational functions, and elliptic functions.