Travelling solitary wave solutions for the nonlinear coupled Korteweg-de Vries system

The objective of this paper is to investigate an algebraic method to construct an analytic solutions for the nonlinear coupled Korteweg-de Vries system. We use Jacobian and rational methods to calculate new solitary wave solutions for the nonlinear coupled Korteweg-de Vries system of partial differential equations using symbolic software like Mathematica or Maple. These studies reveal that the nonlinear coupled Korteweg-de Vries system has a rich variety of solutions. (c) 2006 Elsevier Ltd. All rights reserved.