Hafiz Abdul Wahab Tahir Khan Muhammad Shakil Saira Bhatti Muhammad Naeem Department of Mathematics, Hazara University, Mansehra, Pakistan Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan Department of Information Technology, Hazara University, Mansehra, Pakistan Computational Ecology and Software ISSN 2220-721X http://www.iaees.org/publications/journals/ces/online-version.asp 2014 4 1 63 81 International Academy of Ecology and Environmental Sciences Hong Kong 16 September 2013 20 October 2013 1 March 2014 Homotopy Perturbation Method (HPM) Homotopy Analysis Method (HAM) Systems of KdV equations 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). DOI 10.0000/issn-2220-721x-compuecol-2014-v4-0006 http://www.iaees.org/publications/journals/ces/articles/2014-4(1)/KdV-equations-by-Homotopy-Perturbation-Method.pdf