Mathematics and Statistics Vol. 1(3), pp. 162 - 166
DOI: 10.13189/ms.2013.010308
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A New Extended (G'/G)-Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations

Harun-Or-Roshid ¹, Md. Nur Alam¹, M. F. Hoque^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

In this paper, we propose a new extended (G'/G)-expansion method to construct exact traveling wave solutions for nonlinear evolution equations. To check the validity and effectiveness of our method, we implement it to the (2+1)-dimensional typical breaking soliton equation. The results that we get are more general and successfully recover most of the previously known solutions which have been found by other sophisticated methods. Many of these solutions are found for the first time. Moreover, our method is direct, concise, elementary, effective and can be used for many other nonlinear evolution equations.

KEYWORDS
New Extended (G'/G)-Expansion Method, the (2+1)-dimensional Typical Breaking Soliton Equation, Traveling Wave Solutions

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Harun-Or-Roshid , Md. Nur Alam , M. F. Hoque , M. Ali Akbar , "A New Extended (G'/G)-Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations," Mathematics and Statistics, Vol. 1, No. 3, pp. 162 - 166, 2013. DOI: 10.13189/ms.2013.010308.

(b). APA Format:
Harun-Or-Roshid , Md. Nur Alam , M. F. Hoque , M. Ali Akbar (2013). A New Extended (G'/G)-Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations. Mathematics and Statistics, 1(3), 162 - 166. DOI: 10.13189/ms.2013.010308.