Solitary Wave Solutions for the Generalized Zakharov-Kuznetsov- Benjamin-Bona-Mahony Nonlinear Evolution Equation

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Mostafa M.A. Khater
Mostafa M.A. Khater Master of partial differential equations
1 Mansoura University

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Solitary Wave Solutions for the Generalized Zakharov-Kuznetsov- Benjamin-Bona-Mahony Nonlinear Evolution Equation Banner
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In this paper, we employ the exp (-φ(ξ))-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear evolution equations.

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.

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Not applicable for this article.

Mostafa M.A. Khater. 2016. \u201cSolitary Wave Solutions for the Generalized Zakharov-Kuznetsov- Benjamin-Bona-Mahony Nonlinear Evolution Equation\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 16 (GJSFR Volume 16 Issue A4): .

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Issue Cover
GJSFR Volume 16 Issue A4
Pg. 37- 41
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-A Classification: FOR Code: 010599
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v1.2

Issue date

November 9, 2016

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English

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In this paper, we employ the exp (-φ(ξ))-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the proposed method provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear evolution equations.

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Solitary Wave Solutions for the Generalized Zakharov-Kuznetsov- Benjamin-Bona-Mahony Nonlinear Evolution Equation

Mostafa M.A. Khater
Mostafa M.A. Khater Mansoura University

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