Exp-function method for solving nonlinear evolution equations with higher order nonlinearity

摘要

In this paper, the Exp-function method is used to obtain generalized solitary solutions of the generalized Drinfel'd-Sokolov-Wilson (DSW) system and the generalized (2 + 1)-dimensional Burgers-type equation. Then, some of the solitary solutions are converted to periodic solutions or hyperbolic function solutions by a simple transformation. The results show that the Exp-function method is a powerful and convenient mathematical tool for solving nonlinear evolution equations with higher order nonlinearity.