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

Mostafa Khater

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

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

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§ Department of mathematics, Faculty of science, Manso...

The Modified 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

14 Cites in Article

Reference Format

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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. "The Modified Simple Equation Method and its Applications in Mathematical Physics and Biology". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue 18 (F4)).

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GJSFR Volume 15 Issue 18 (F4)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

modified benjamin-bona-mahony equation nonlinear dynamics of microtubules the modified simple equation m the system of shallow water wave equations

Classification

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

Submission ReceivedMarch 21, 2015
Peer Review Double Blind
Handling Editor
Accepted April 13, 2015
Published May 8, 2015

Version of record

v1.2

Issue date

May 8, 2015

Language

English

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Article Matrices

Total Score: 131

Country: China

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

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

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