Journal of Applied Mathematics
Volume 2012 (2012), Article ID 569098, 10 pages
http://dx.doi.org/10.1155/2012/569098
Research Article

Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method

Mohammed Ali, Marwan Alquran, and Mahmoud Mohammad

Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan

Received 14 July 2012; Accepted 28 August 2012

Academic Editor: J. C. Butcher

Copyright © 2012 Mohammed Ali et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study two-component evolutionary systems of a homogeneous KdV equations of second and third order. The homotopy analysis method (HAM) is used for analytical treatment of these systems. The auxiliary parameter h of HAM is freely chosen from the stability region of the h-curve obtained for each proposed system.