Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM)

Abstract

In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV Equations of order three (system-I) as well as (system-II) and the generalized coupled Hirota Satsuma KdV (System-III).

Keywords

• Homotopy Perturbation Method (HPM)
• Homotopy Analysis Method (HAM)
• Systems of KdV equations