Journal of Applied Mathematics

Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method

Mohammed Ali, Marwan Alquran, and Mahmoud Mohammad

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 569098, 10 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153528

Digital Object Identifier
doi:10.1155/2012/569098

Mathematical Reviews number (MathSciNet)
MR2984192

Zentralblatt MATH identifier
1251.65143

Citation

Ali, Mohammed; Alquran, Marwan; Mohammad, Mahmoud. Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method. J. Appl. Math. 2012 (2012), Article ID 569098, 10 pages. doi:10.1155/2012/569098. https://projecteuclid.org/euclid.jam/1357153528


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