F-expansion method and new exact solutions ofthe Schrodinger-KdV equation

F-expansion method is proposed to seek exact solutions of nonlinear evolution equations.With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number of Jacobi-elliptic function solutions are obtained including the Weierstrass-elliptic function solutions. When the modulus m of Jacobi-elliptic function approaches to 1 ve 0, soliton like solutions and trigonometric function solutions are obtained, respectively. The proposed method is a straightforward,short,promising, and powerful method for the nonlinera evolution equations in mathematical physics. The dynamics of solitons, with newly modeled Kudryashov's equation, is revealed in this study by the aid of F-expansion scheme. Thus, bright, dark and singular solitons emerged from it as well as complexiton solutions are presented. The sustaining criteria for the solitons are also enumerated.