Application of the exp(-\phi)-expansion method to the Pochhammer-Chree equation

Abstract

In the present article, a direct approach, namely exp(-\phi)-expansion method, is
used for obtaining analytical solutions of the Pochhammer-Chree equations which
have a many of models. These solutions are expressed in exponential functions
expressed by hyperbolic, trigonometric and rational functions with some parameters.
Recently, many methods were attempted to nd exact solutions of nonlinear partial
differential equations, but it seems that the exp(-\phi)-expansion method appears to be efficient for nding exact solutions of many nonlinear differential equations.