title: F-expansion method and new exact solutions of the Schrödinger-KdV equation.
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.
authors.affiliation: Department of Mathematics, Faculty of Science and Arts, Adnan Menderes University, 09010 Aydin, Turkey.
authors.forename: Ali
authors.initials: A
authors.lastname: Filiz
authors.affiliation: Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey.
authors.forename: Mehmet
authors.initials: M
authors.lastname: Ekici
authors.affiliation: Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey.
authors.forename: Abdullah
authors.initials: A
authors.lastname: Sonmezoglu
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical