Enhanced (G^/G)-Expansion Method to Find the Exact Complexiton Soliton Solutions of (3+1)-Dimensional Zakhrov-Kuznetsov Equation

Rafiqul Islam; Kamruzzaman Khan

Enhanced (𝐺𝐺′/𝐺𝐺)-Expansion Method to Find the Exact Complexiton Soliton Solutions of (3+1)-Dimensional Zakhrov Kuznetsov Equation

Kamruzzaman Khan * § Ph.D.

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Rafiqul Islam

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M. Ali Akbar & Ekramul Islam ‡

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§ Pabna University of Science and Technology

‡ Department of Applied Mathematics, University of Raj...

Enhanced (𝐺𝐺′/𝐺𝐺)-Expansion Method to Find the Exact Complexiton Soliton Solutions of (3+1)-Dimensional Zakhrov Kuznetsov Equation

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Abstract

In this article, an enhanced (𝐺𝐺 ′ /𝐺𝐺)-expansion method has been applied to find the traveling wave solutions of the (3+1)-dimensional Zakhrov-Kuznetsov (ZK) equation. The efficiency of this method for finding these exact solutions has been demonstrated. As a result, a set of complexiton soliton solutions are derived, which are expressed by the combinations of rational, hyperbolic and trigonometric functions involving several parameters. It is shown that the method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics.

References

2 Cites in Article

Reference Format

1. R. Hirota,J. Satsuma (1973). Soliton solutions of a coupled KDV equation. Phy. Lett. A, 14, 805-810.
2. M. Malfliet (1981). Solitary wave solutions of nonlinear wave equations. Am. J. Phys, 60, 404-408.

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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

Kamruzzaman Khan, Rafiqul Islam, M. Ali Akbar & Ekramul Islam. 2013. "Enhanced (𝐺𝐺′/𝐺𝐺)-Expansion Method to Find the Exact Complexiton Soliton Solutions of (3+1)-Dimensional Zakhrov Kuznetsov Equation". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue 35 (F8)).

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GJSFR Volume 13 Issue 35 (F8)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

complexiton soliton solutions enhanced 􁈺􀜩􀔢􀈀􀜩􁈻-expansion method traveling wave solutions zk equation

Classification

GJSFR-F Classification MSC 2010: 13D02

Submission ReceivedAugust 16, 2013
Peer Review Double Blind
Handling Editor
Accepted September 7, 2013
Published July 26, 2013

Version of record

v1.2

Issue date

July 26, 2013

Language

English

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Article Matrices

Total Score: 104

Country: Bangladesh

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

Authors: Rafiqul Islam, Kamruzzaman Khan, M. Ali Akbar, Ekramul Islam (PhD/Dr. count: 0)

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Publish Date: 2013 07, Fri

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