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

Mostafa M. A. Khater

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

Mostafa M. A. Khater * § Master of partial differential equations

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Mansoura University

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

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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.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Mostafa M. A. Khater. 2015. "On the New Solitary Wave Solution of the Generalized Hirota-Satsuma Couple KdV System". Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 15 (GJSFR Volume 15 Issue A4).

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GJSFR Volume 15 Issue A4

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-A Classification MSC 2010: 35Q20 - 35K99 - 35P05.

Submission ReceivedJuly 21, 2015
Peer Review Double Blind
Handling Editor
Accepted August 10, 2015
Published August 25, 2015

Version of record

v1.2

Issue date

September 8, 2015

Language

English

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Article Matrices

Total Score: 145

Country: Egypt

Subject: Global Journal of Science Frontier Research

Authors: Mostafa M. A. Khater (PhD/Dr. count: 0)

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