
Home

Computational Ecology and Software, 2017, 7(1): 28-37
[XML] [EndNote] [RefManager] [BibTex] [

Full PDF (225K)] [Comment/Review Article]

Article

An approximate solution for a generalized Hirota-Satsom coupled (Kdv) equation

H.A. Wahab¹, Rafi Ullah¹, Saira Bhatti², M. Shahzad¹, M. Naeem³, Fawad Hussain⁴, Sarfraz Ahmad⁴
¹Department of Mathematics, Hazara University, Manshera, Pakistan
²Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
³Department of IT, AUST, Abbottabad, Pakistan
⁴Department of Mathematics, AUST, Abbottabad, Pakistan

Received 22 November 2016;Accepted 26 December 2016;Published 1 March 2017
IAEES

Abstract
In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution. The results obtained by HAM is compared with exact solution, the results divulge that the Homotopy Analysis Method are most accurate, closed and suitable to exact solution of the equation, as compare to Homotopy Perturbation Method. It is predicated that the HAM can be found usually.

Keywords Homotopy Analysis Method (HAM);non-linear systems of KdV equations.

International Academy of Ecology and Environmental Sciences. E-mail: office@iaees.org
Copyright © 2009-2024 International Academy of Ecology and Environmental Sciences. All rights reserved.
Web administrator: office@iaees.org, website@iaees.org; Last modified: 2024/4/27

Translate page to: