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F-expansion method and new exact solutions of the Schrödinger-KdV equation
Ali Filiz1, Mehmet Ekici2, Abdullah Sonmezoglu2
1Department of Mathematics, Faculty of Science and Arts, Adnan Menderes University, 09010 Aydin, Turkey.
Abstract:
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 and 0, soliton-like solutions and trigonometric-function solutions are also obtained, respectively. The proposed method is a straightforward, short, promising, and powerful method for the nonlinear evolution equations in mathematical physics.
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