A novel traveling wave solution for the generalized combined KdV and mKdV equation using the generalized ' G G - expansion method

In this paper, the generalized ' G G         -expansion method is used for construct an innovative explicit traveling wave solutions involving parameters of the generalized combined KdV and mKdV equation         2 = 0 t x x x xxx u a t u b t u u c t u u e t u     , for any arbitrary functions       , , a t b t c t and   e t . The properties of this method is that gives an explicit solutions other than the other methods and also gives especial solutions.