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

Mostafa M. A. Khater

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.

Ethical Approval

No ethics committee approval was required for this article type.

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How to Cite This Article

Mostafa Khater. 2015. "Extended exp(-I(I)) -Expansion method for Solving the Generalized Hirota-Satsuma Coupled KdV System". Global Journal of Science Frontier Research, 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

Keywords

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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

Version of record

v1.2

Issue date

September 24, 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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