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International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: https://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2013, 1(1), 6-12
DOI: 10.12691/ijpdea-1-1-2
Open AccessArticle

Enhanced (G’/G)-Expansion Method to Find the Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics

Md. Ekramul Islam1, Kamruzzaman Khan1, , M. Ali Akbar2 and Rafiqul Islam1

1Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh

2Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

Pub. Date: November 11, 2013
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Cite this paper:
Md. Ekramul Islam, Kamruzzaman Khan, M. Ali Akbar and Rafiqul Islam. Enhanced (G’/G)-Expansion Method to Find the Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics. International Journal of Partial Differential Equations and Applications. 2013; 1(1):6-12. doi: 10.12691/ijpdea-1-1-2

Abstract

In the present paper, we construct the traveling wave solutions involving parameters for the (2+1)-dimensional cubic Klein-Gordon equation (cKG) via Enhanced (G’/G)-expansion method. The efficiency of this method for finding these exact solutions has been demonstrated. As a result, a set of solitary wave solutions are derived, which are expressed by the combinations of rational, hyperbolic and trigonometric functions involving several parameters. It is shown that the method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics.

Keywords:
enhanced (G’/G)-expansion method cKG equation solitary wave traveling wave

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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