EXACT TRAVELING WAVE SOLUTIONS OF A GENERALIZED KAWAHARA EQUATION

We apply the modified method of simplest equation for obtaining exact solutions of nonlinear partial differential equations (PDEs) from the kind of the generalized Kawahara equation (gKE).The ordinary differential equation of Abel of first kind is used as the simplest equation and two exact solutions of the studied equation are obtained.These solutions are expressed by the special function discussed in [1].Particular cases of one of the obtained solutions are visualized.For these cases the special function is reduced to elementary functions and the corresponding solutions describe a kink and a solitary wave.