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

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Harun-Or-Roshid
Harun-Or-Roshid
σ
Md. Nur Alam
Md. Nur Alam
ρ
Mohammad Mobarak Hossain
Mohammad Mobarak Hossain
Ѡ
Mohammad Safi Ullah
Mohammad Safi Ullah
¥
Rafiqul Islam
Rafiqul Islam
§
M.Ali Akbar
M.Ali Akbar
α to σ Pabna University of Science and Technology

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

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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.

References

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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

Harun-Or-Roshid. 2014. \u201cExact Traveling Wave Solutions for the (2+1)-Dimensional ZK-BBM Equation by Exp )) ( ( i i i-Expansion Method\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 14 (GJSFR Volume 14 Issue A2): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

July 6, 2014

Language
en
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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.

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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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