On exact solutions of the coupled Klein-Gordon-Schrödinger and the complex coupled KdV equations using mapping method

The mapping method is used by the aid of symbolic computation system Mathematica for constructing exact solutions to the coupled Klein-Gordon-Schrödinger equations and to the complex coupled KdV equations. The solutions obtained in this paper include Jacobi elliptic solutions, combined Jacobi elliptic solutions, rational solutions, triangular solutions, soliton solutions and combined soliton solutions. © 2003 Published by Elsevier Ltd.