Advances in Mathematical Physics
Volume 2013 (2013), Article ID 890784, 11 pages
http://dx.doi.org/10.1155/2013/890784
Research Article

A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations

Bülent Kiliç and Hasan Bulut

Department of Mathematics, Firat University, 23119 Elazig, Turkey

Received 3 February 2013; Revised 22 April 2013; Accepted 23 April 2013

Academic Editor: Dumitru Baleanu

Copyright © 2013 Bülent Kiliç and Hasan Bulut. 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

A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of a different auxilliary equation from the Riccati equation which has more new solutions. More new solitary solutions are obtained for the RLW Burgers and Hirota Satsuma coupled equations.