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

Boundary value problems

Chaudry Masood Khalique¹  Hossein Jafari¹  Rahmat Soltani²  Dumitru Baleanu² 

[1] Department of Mathematics, University of Mazandaran, Babolsar, Iran;International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mmabatho, South Africa

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

DOI  :  10.1186/1687-2770-2013-117

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY