Traveling Wave Solutions of Nonlinear Evolution Equations via Exp -Expansion Method

Md. Nur Alam; Harun-Or-Roshid; Rafiqul Islam

Traveling Wave Solutions of Nonlinear Evolution Equations via Exp -Expansion Method

Md. Nur Alam * §

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Harun-Or-Roshid

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Rafiqul Islam

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§ Pabna University of Science and Technology

Traveling Wave Solutions of Nonlinear Evolution Equations via Exp -Expansion Method

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Abstract

In this article, we implement the exp(-Φ(η))-expansion method for seeking the exact solutions of NLEEs via the Benjamin-Ono equation and achieve exact solutions involving parameters. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. It is established that the exp(-Φ(η))-expansion method offers a further influential mathematical tool for constructing the exact solutions of NLEEs in mathematical physics. The obtained results show that exp(-Φ(η))-expansion method is very powerful and concise mathematical tool for nonlinear evolution equations in science and engineering.

References

23 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

Md. Nur Alam, Harun-Or-Roshid, Rafiqul Islam. 2014. "Traveling Wave Solutions of Nonlinear Evolution Equations via Exp -Expansion Method". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F11).

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GJSFR Volume 13 Issue F11

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

complixiton soliton solutions nonlinear evolution equation the benjamin-ono equation the exp(−Φ(η)) -expansion method traveling wave solutions

Classification

GJSFR-F Classification MSC 2010: Mathematics Subject Classification: 35C07

35C08

35P99.

Submission ReceivedNovember 16, 2013
Peer Review Double Blind
Handling Editor
Accepted December 13, 2013
Published December 26, 2013

Version of record

v1.2

Issue date

March 22, 2014

Language

English

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Article Matrices

Total Score: 149

Country: Bangladesh

Subject: Global Journal of Science Frontier Research

Authors: Rafiqul Islam, Md. Nur Alam, A.K.M. Kazi Sazzad Hossain, Harun-Or-Roshid, M. Ali Akbar (PhD/Dr. count: 0)

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