Open Access Research

Exact solutions of two nonlinear partial differential equations by using the first integral method

Hossein Jafari12*, Rahmat Soltani1, Chaudry Masood Khalique2 and Dumitru Baleanu345

Author Affiliations

1 Department of Mathematics, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran

2 International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho, 2735, South Africa

3 Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Çankaya University, Balgat, Ankara, 0630, Turkey

4 Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, 21589, Saudi Arabia

5 Institute of Space Sciences, P.O. Box MG-23, Magurele, Bucharest, 76900, Romania

For all author emails, please log on.

Boundary Value Problems 2013, 2013:117  doi:10.1186/1687-2770-2013-117

Published: 7 May 2013

Abstract

In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, we utilize this method and obtain exact solutions of two nonlinear partial differential equations, namely double sine-Gordon and Burgers equations. It is found that the method by Feng is a very efficient method which can be used to obtain exact solutions of a large number of nonlinear partial differential equations.

Keywords:
first integral method; double sine-Gordon equation; Burgers equation; exact solutions