F-Expansion Method and New Exact Solutions of the Schrodinger-KdV Equation


FİLİZ A., EKİCİ M. , SÖNMEZOĞLU A.

SCIENTIFIC WORLD JOURNAL, 2014 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2014
  • Doi Number: 10.1155/2014/534063
  • Title of Journal : SCIENTIFIC WORLD JOURNAL

Abstract

F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrodinger-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.