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

Abstract EN

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.