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Computational Ecology and Software, 2014, 4(1): 63-81
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Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM)

Hafiz Abdul Wahab¹, Tahir Khan¹, Muhammad Shakil¹, Saira Bhatti², Muhammad Naeem³
¹Department of Mathematics, Hazara University, Mansehra, Pakistan
²Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
³Department of Information Technology, Hazara University, Mansehra, Pakistan

Received 16 September 2013;Accepted 20 October 2013;Published online 1 March 2014
IAEES

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.

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