A Generalized Tanh-Function Type Method and the(G'/G) -Expansion Method for Solving

In this paper a generalized tanh-function type method is proposed by using the idea of the transformed rational function method. We show that the G G  -expansion method is a special case of the generalized tanh-function type method, so the G G   -expansion method is considered as a special deformation application of the transformed rational function method. We demonstrate that all solutions obtained by the   G G  -expansion method were found by the generalized tanh-function type method. As applications, we consider mKdV equation. Compared with the G G   -expansion method, the generalized tanh-function type method gives new and more abundant solutions.