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

Enhanced (G^/G)-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

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Ekramul Islam

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α Pabna University of Science and Technology

Enhanced (G^/G)-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.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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How to Cite This Article

Kamruzzaman Khan. 2013. \u201cEnhanced (G^/G)-Expansion Method to Find the Exact Complexiton Soliton Solutions of (3+1)-Dimensional Zakhrov-Kuznetsov Equation\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F8): .

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GJSFR Volume 13 Issue F8
Pg. 133- 144

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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

Submission ReceivedAugust 16, 2013
Peer Review Double Blind
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Accepted September 7, 2013
Published September 22, 2013

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October 6, 2013

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Total Score: 104

Country: Unknown

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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