On the solution of the nonlinear Korteweg-de Vries equation by the homotopy perturbation method

WOS: 000272740200001In this paper, the homotopy perturbation method is used to implement the nonlinear Korteweg-de Vries equation. The analytical solution of the equation is calculated in the form of a convergent power series with easily Computable components. A suitable choice of ail initial solution can lead to the needed exact solution by a few iterations. Copyright (C) 2008 John Wiley & Sons, Ltd.TUBiTAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)TUBiTAK (The Scientific and Technological Research Council of Turkey