Table of Contents
International Scholarly Research Notices
Volume 2014, Article ID 840689, 8 pages
http://dx.doi.org/10.1155/2014/840689
Research Article

Exact Solutions for the Integrable Sixth-Order Drinfeld-Sokolov-Satsuma-Hirota System by the Analytical Methods

Department of Applied Mathematics, Faculty of Mathematics Science, University of Tabriz, 29 Bahman Boulevard, Tabriz 5166616471, Iran

Received 7 April 2014; Revised 28 May 2014; Accepted 28 May 2014; Published 9 September 2014

Academic Editor: Abdelghani Bellouquid

Copyright © 2014 Jalil Manafian Heris and Mehrdad Lakestani. 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 establish exact solutions including periodic wave and solitary wave solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota system. We employ this system by using a generalized -expansion and the generalized tanh-coth methods. These methods are developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that these methods, with the help of symbolic computation, provide a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.