Application of the new approach of generalized (G' /G) -expansion method to find exact solutions of nonlinear PDEs in mathematical physics

Authors

  • Md. Nur Alam Department of Mathematics, Pabna University of Science and Technology,
  • M Ali Akbar Department of Applied Mathematics, University of Rajshahi,

DOI:

https://doi.org/10.3126/bibechana.v10i0.9312

Keywords:

Global

Abstract

The exact solutions of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of complex physical phenomena. In this article, we construct the traveling wave solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation by means of the new approach of generalized (G′ /G) -expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. It is shown that the new approach of generalized (G′ /G) -expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations.

BIBECHANA 10 (2014) 58-70

DOI: http://dx.doi.org/10.3126/bibechana.v10i0.9312

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Published

2013-12-12

How to Cite

Alam, M. N., & Akbar, M. A. (2013). Application of the new approach of generalized (G’ /G) -expansion method to find exact solutions of nonlinear PDEs in mathematical physics. BIBECHANA, 10, 58–70. https://doi.org/10.3126/bibechana.v10i0.9312

Issue

Vol. 10 (2014)

Section

Research Articles

License

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