The decomposition method for a Hirota-Satsuma coupled KdV equation and a coupled MKdV equation

Author: K. R. Raslan

Source: International Journal of Computer Mathematics, Volume 81, Number 12, December 2004 , pp. 1497-1505(9)

Publisher: Taylor and Francis Ltd

Key:

- Free Content

- New Content

- Subscribed Content

- Free Trial Content

Abstract:

The main goal of this article is to demonstrate the use of the decomposition method that was developed by George Adomian [Adomian, G. (1994). Solving Frontier Problems of Physics: The Decomposition Method. Kluwer Academic Publishers, Boston, MA.] to obtain solitary wave solutions for a new Hirota-Satsuma coupled KdV equation and a coupled MKdV equation [Fan, E. G. (2001). Soliton solution for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation. Phys. Lett. A, 282, 18-22 and Wu, Y. T., Geng, X. G., Hu, X. B. and Zhu, S. M. (1999). Phys. Lett. A, 255, 259.]. The algorithm is illustrated by studying an initial value problem. The obtained results are presented, and only few terms are required to obtain an approximation solution that is found to be accurate and efficient.

Keywords: Coupled Mkdv Equation; Solitons Solution; Adomian Decomposition

Document Type: Research article

DOI: 10.1080/0020716042000261405

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$45.09 plus tax Refund Policy