Exp-Function Method for Finding Exact Solutions of Nonlinear Evolution Equations

Abstract

We applied Exp-function method to some nonlinear evolution equations to obtain its exact solution. The solution procedure of this method, by the help of symbolic computation of mathematical software, is of utter simplicity. The prominent merit of this method is to facilitate the process of solving systems of partial differential equations. These methods are straightforward and concise by themselves; moreover their applications are promising to obtain exact solutions of various partial differential equations. The obtained results show that Exp-function method is very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering.