On the New Solitary Wave Solution of the Generalized Hirota-Satsuma Couple KdV System

Article ID

SFRQR556

On the New Solitary Wave Solution of the Generalized Hirota-Satsuma Couple KdV System

Mostafa M. A. Khater
Mostafa M. A. Khater
DOI

Abstract

In this article, we employ – expansion method for the generalized Hirota – Satsuma couple KdV system to find the exact traveling wave solutions involving parameters with the aid of Maple 16. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the – expansion method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.

On the New Solitary Wave Solution of the Generalized Hirota-Satsuma Couple KdV System

In this article, we employ – expansion method for the generalized Hirota – Satsuma couple KdV system to find the exact traveling wave solutions involving parameters with the aid of Maple 16. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the – expansion method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.

Mostafa M. A. Khater
Mostafa M. A. Khater

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Mostafa M.A. Khater. 2015. “. Global Journal of Science Frontier Research – A: Physics & Space Science GJSFR-A Volume 15 (GJSFR Volume 15 Issue A4): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 15 Issue A4
Pg. 15- 21
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GJSFR-A Classification: MSC 2010: 35Q20 – 35K99 – 35P05.
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On the New Solitary Wave Solution of the Generalized Hirota-Satsuma Couple KdV System

Mostafa M. A. Khater
Mostafa M. A. Khater

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