Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 1(4), pp. 129 - 136
DOI: 10.13189/ujcmj.2013.010403
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Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G)-Expansion Method

Md. Nur Alam ^1,*, M. Ali Akbar ^2
1 Department of Mathematics, Pabna University of Science and Technology, Bangladesh
² Department of Applied Mathematics, University of Rajshahi, Bangladesh

ABSTRACT

The exact solutions of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of compound physical phenomena. In this article, we implement the new generalized (G’/G)-expansion method for seeking the exact solutions of NLEEs via the Benjamin-Ono equation and achieve exact solutions involving parameters. 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 evolution equations.

KEYWORDS
New Approach of Generalized (G'/G) -Expansion Method, The Benjamin-Ono Equations, Homogeneous Balance, Traveling Wave Solutions, Nonlinear Evolution Equation

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Md. Nur Alam , M. Ali Akbar , "Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G)-Expansion Method," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 1, No. 4, pp. 129 - 136, 2013. DOI: 10.13189/ujcmj.2013.010403.

(b). APA Format:
Md. Nur Alam , M. Ali Akbar (2013). Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G)-Expansion Method. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 1(4), 129 - 136. DOI: 10.13189/ujcmj.2013.010403.