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

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D1XIU

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

Rafiqul Islam
Rafiqul Islam
Kamruzzaman Khan
Kamruzzaman Khan Pabna University of Science and Technology
M. Ali Akbar
M. Ali Akbar
Ekramul Islam
Ekramul Islam
DOI

Abstract

In this article, an enhanced 􁈺􀡳􀔢 􀈀􀡳􁈻-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.

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

In this article, an enhanced 􁈺􀡳􀔢 􀈀􀡳􁈻-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.

Rafiqul Islam
Rafiqul Islam
Kamruzzaman Khan
Kamruzzaman Khan Pabna University of Science and Technology
M. Ali Akbar
M. Ali Akbar
Ekramul Islam
Ekramul Islam

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Kamruzzaman Khan. 2013. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F8): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 13 Issue F8
Pg. 133- 144
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Enhanced (G^/G)-Expansion Method to Find the Exact Complexiton Soliton Solutions of (3+1)-Dimensional Zakhrov-Kuznetsov Equation

Rafiqul Islam
Rafiqul Islam
Kamruzzaman Khan
Kamruzzaman Khan Pabna University of Science and Technology
M. Ali Akbar
M. Ali Akbar
Ekramul Islam
Ekramul Islam

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