F-expansion method and new exact solutions of the Schrödinger-KdV equation

ScientificWorldJournal. 2014 Jan 29;2014:534063. doi: 10.1155/2014/534063. eCollection 2014.


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.

MeSH terms

  • Algorithms
  • Models, Theoretical*