Exact Solutions to the Generalized Benjamin Equation

Hua Gao, Genhu Di

Department of Applied Mathematics, Yuncheng University, Yuncheng, China.

DOI: 10.4236/jamp.2014.27074                

Abstract

Based on the -expansion method, a series of exact solutions of the generalized Benjamin equation have been obtained. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. It is shown that the -expansion method is concise, and its applications are promising.

Keywords

Expansion Method, Generalized Benjamin Equation, Nonlinear Evolution Equations

Conflicts of Interest

The authors declare no conflicts of interest.

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