The(G'/G,1/G)-Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations

The two variable ( G ' / G , 1 / G ) -expansion method is employed to construct exact traveling wave solutions with parameters of two higher order nonlinear evolution equations, namely, the nonlinear Klein-Gordon equations and the nonlinear Pochhammer-Chree equations. When the parameters are replaced by special values, the well-known solitary wave solutions of these equations are rediscovered from the traveling waves. This method can be thought of as the generalization of well-known original ( G ' / G ) -expansion method proposed by Wang et al. It is shown that the two variable ( G ' / G , 1 / G ) -expansion method provides a more powerful mathematical tool for solving many other nonlinear PDEs in mathematical physics.