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Computational Ecology and Software, 2014, 4(1): 63-81
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Article

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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