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: 245

Full Length Research Paper

Application of exp (-())- 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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  •  Accepted: 22 January 2014
  •  Published: 12 February 2014

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.