The Modied Simple Equation Method and its Applications in Mathematical Physics and Biology

The Modied Simple Equation Method and its Applications in Mathematical Physics and Biology

Mostafa M.A. Khater Master of partial differential equations

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Mansoura University

The Modied Simple Equation Method and its Applications in Mathematical Physics and Biology

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Abstract

In this paper, the modified simple equation method with the aid of Maple is used to obtain new exact traveling wave solutions of the system of shallow water wave equations, modified Benjamin-Bona-Mahony equation and nonlinear dynamics of microtubules-A new model. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the modified simple equation method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the wellknown results will be presented.

References

28 Cites in Article

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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. \u201cThe Modied Simple Equation Method and its Applications in Mathematical Physics and Biology\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F4): .

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GJSFR Volume 15 Issue F4
Pg. 69- 86

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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 ReceivedMarch 21, 2015
Peer Review Double Blind
Handling Editor
Accepted April 13, 2015
Published April 27, 2015

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v1.2

Issue date

June 4, 2015

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Article Matrices

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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Publish Date: 2015 06, Thu

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Total Views: 4201

Total Downloads: 2074

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