Application of exp (-())- expansion method to find the exact solutions of Shorma-Tasso-Olver Equation

Nizhum Rahman; Md. Nur Alam; Harun-Or-Roshid; Selina Akter; M. Ali Akbar

doi:10.5897/AJMCSR2014.0532

African Journal of
Mathematics and Computer Science Research

Abbreviation: Afr. J. Math. Comput. Sci. Res.
Language: English
ISSN: 2006-9731
DOI: 10.5897/AJMCSR
Start Year: 2008
Published Articles: 262

Full Length Research Paper

Application of exp (-ï¦(ï¸))- expansion method to find the exact solutions of Shorma-Tasso-Olver Equation

Nizhum Rahman

Nizhum Rahman
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
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Md. Nur Alam

Md. Nur Alam
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
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Harun-Or-Roshid

Harun-Or-Roshid
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
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Selina Akter

Selina Akter
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
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M. Ali Akbar

M. Ali Akbar
Department of Applied Mathematics, University of Rajshahi, Bangladesh.
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Article Number - F0660C443035
Vol.7(1), pp. 1-6 , February 2014
https://doi.org/10.5897/AJMCSR2014.0532

Accepted: 22 January 2014
Published: 12 February 2014

Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0.

Abstract

In this work, we present traveling wave solutions for the Shorma-Tasso-Olver equation. The idea of exp (-f(x))- expansion method is used to obtain exact solutions of that equation. The traveling wave solutions are expressed by the exponential functions, the hyperbolic functions, the trigonometric functions solutions and the rational functions. It is shown that the method is awfully effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical science and engineering.

Key words: The exp (-f(x))- expansion method, the Shorma-Tasso-Olver equation, nonlinear partial differential equation, homogeneous balance, traveling wave solutions, solitary wave solutions.

Abbreviation

Mathematics Subject Classification: 35C07, 35C08, 35P99.

This article is published under the terms of the Creative Commons Attribution License 4.0

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