Abstract

The Korteweg-de Vries (KdV) equation is the champion of model equations of nonlinear waves. In fact, it is from numerical experiments of a water wave equation. The objective of this paper is to present a comparative study of He's homotopy perturbation method (HPM) and variational iteration method (VIM) for the semi analytical solution of three different Kortweg-de Vries (KdV) type equations called KdV, K(2,2,) and modified KdV (Burgers) equations. The study has highlighted the efficiency and capability of aforementioned methods in solving these nonlinear problems which has risen from a number of important physical phenomenons. 

Key words: Variational iteration method (VIM), homotopy perturbation method (HPM), KdV equation, modified KdV Equation.