An application for a generalized KdV equation by the decomposition method

Abstract

The explicit solutions to a generalized Korteweg-de Vries equation (KdV for short) with initial condition are calculated by using the Adorman decomposition method. Using this approach we obtained for the numerical solutions of initial-value KdV equation, Numerical illustrations on well-known KdV equation with the rational and solitary wave solutions indicate that the decomposition method is efficient and accurate. In addition, an illustration of the self canceling phenomena is also given. (C) 2002 Elsevier Science B.V. All rights reserved.