Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation

Abstract

We find the explicit and numerical traveling wave solutions for a coupled KdV equation and a coupled MKdV equation by using the decomposition method with help of symbolic computation. By using this method, the solutions were calculated in the form of a convergent power series with easily computable components. The convergence of the method as applied to the coupled KdV and MKdV equations is illustrated numerically. (C) 2003 Elsevier Inc. All rights reserved.