Traveling wave solutions of two nonlinear wave equations by \((G^\prime/G)\)-expansion method (Q1629330)

Summary: We employ the \((G^{\prime}/G)\)-expansion method to seek exact traveling wave solutions of two nonlinear wave equations -- Padé-II equation and Drinfel'd-Sokolov-Wilson (DSW) equation. As a result, hyperbolic function solution, trigonometric function solution, and rational solution with general parameters are obtained. The interesting thing is that the exact solitary wave solutions and new exact traveling wave solutions can be obtained when the special values of the parameters are taken. Comparing with other methods, the method used in this paper is very direct. The \((G^{\prime}/G)\)-expansion method presents wide applicability for handling nonlinear wave equations.