The traveling wave solution of coupled Schrdinger-KdV equation

In order to obtain the traveling wave solution of Schrdinger-KdV equation, the bifurcation theory of dynamical system is used to studied the bifurcation behavior of Schrdinger-KdV equation, the existence of solitary wave solution and smooth periodic wave solution is obtained, Under the different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given, All exact explicit parametric representations of the above waves are determined.