Extended exp(-I(I)) -Expansion method for Solving the Generalized Hirota-Satsuma Coupled KdV System

Extended exp(-I(I)) -Expansion method for Solving the Generalized Hirota-Satsuma Coupled KdV System

Mostafa M.A. Khater Master of partial differential equations

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Mansoura University

Extended exp(-I(I)) -Expansion method for Solving the Generalized Hirota-Satsuma Coupled KdV System

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Abstract

In this research, The exact traveling wave solutions of the generalized Hirota-Satsuma couple KdV system is obtained as the first time in the framework of the extended exp(󲐀'(_))expansion method. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the extended exp(󲐀'(_))expansion method give a wide range of solutions and it 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.

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No ethics committee approval was required for this article type.

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How to Cite This Article

Mostafa M.A. Khater. 2015. \u201cExtended exp(-I(I)) -Expansion method for Solving the Generalized Hirota-Satsuma Coupled KdV System\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F7).

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GJSFR Volume 15 Issue F7

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Classification

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

Submission ReceivedJuly 20, 2015
Peer Review Double Blind
Handling Editor
Accepted August 10, 2015
Published August 24, 2015

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September 24, 2015

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Total Score: 101

Country: Unknown

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

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

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Total Views: 4239

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