Exact Traveling Wave Solutions for the (2+1)-Dimensional ZK-BBM Equation by Exp )) ( ( i i i-Expansion Method

Article ID

SFR88C0C

Exact Traveling Wave Solutions for the (2+1)-Dimensional ZK-BBM Equation by Exp )) ( ( i i i-Expansion Method

Harun-Or-Roshid
Harun-Or-Roshid Pabna University of Science and Technology
Md. Nur Alam
Md. Nur Alam Pabna University of Science and Technology
Mohammad Mobarak Hossain
Mohammad Mobarak Hossain
Mohammad Safi Ullah
Mohammad Safi Ullah
Rafiqul Islam
Rafiqul Islam
M.Ali Akbar
M.Ali Akbar
DOI

Abstract

In this work, the exp(−Φ(η)) -expansion method is applied to solve the (2+1)-dimensional ZK-BBM equation. The traveling wave solutions are expressed in terms of the exponential functions, the hyperbolic functions, the trigonometric functions and the rational functions. The procedure is simple, direct and constructive without the help of a computer algebra system. The exp(−Φ(η)) -expansion method will be used in further works to establish more entirely new solutions for other kinds of nonlinear evolution equations arising in mathematical physics and engineering.

Exact Traveling Wave Solutions for the (2+1)-Dimensional ZK-BBM Equation by Exp )) ( ( i i i-Expansion Method

In this work, the exp(−Φ(η)) -expansion method is applied to solve the (2+1)-dimensional ZK-BBM equation. The traveling wave solutions are expressed in terms of the exponential functions, the hyperbolic functions, the trigonometric functions and the rational functions. The procedure is simple, direct and constructive without the help of a computer algebra system. The exp(−Φ(η)) -expansion method will be used in further works to establish more entirely new solutions for other kinds of nonlinear evolution equations arising in mathematical physics and engineering.

Harun-Or-Roshid
Harun-Or-Roshid Pabna University of Science and Technology
Md. Nur Alam
Md. Nur Alam Pabna University of Science and Technology
Mohammad Mobarak Hossain
Mohammad Mobarak Hossain
Mohammad Safi Ullah
Mohammad Safi Ullah
Rafiqul Islam
Rafiqul Islam
M.Ali Akbar
M.Ali Akbar

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Harun-Or-Roshid. 2014. “. Global Journal of Science Frontier Research – A: Physics & Space Science GJSFR-A Volume 14 (GJSFR Volume 14 Issue A2): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Exact Traveling Wave Solutions for the (2+1)-Dimensional ZK-BBM Equation by Exp )) ( ( i i i-Expansion Method

Harun-Or-Roshid
Harun-Or-Roshid Pabna University of Science and Technology
Md. Nur Alam
Md. Nur Alam Pabna University of Science and Technology
Mohammad Mobarak Hossain
Mohammad Mobarak Hossain
Mohammad Safi Ullah
Mohammad Safi Ullah
Rafiqul Islam
Rafiqul Islam
M.Ali Akbar
M.Ali Akbar

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