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British Journal of Mathematics & Computer Science, ISSN: 2231-0851,Vol.: 5, Issue.: 5

Original-research-article

Traveling Wave Solutions of the Simplified MCH Equation via Exp (−Φ(ξ)) -expansion Method

 

Harun-Or-Roshid1*, Md. Nur Alam1, M. Ali Akbar2 and Rafiqul Islam1

1Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
2Department of Applied Mathematics, University of Rajshahi, Bangladesh.

Article Information
Editor(s):
(1) Carlo Bianca, Department of Mathematical Sciences, Polytechnic University of Turin, Torino, Italy.
Reviewers:
(1) Anonymous, Zagazig University, Zagazig, Egypt.
(2) Hasibun Naher, Department of Mathematics and Natural Sciences, BRAC University, Bangladesh.
Complete Peer review History: http://www.sciencedomain.org/review-history/7002

Abstracts

The exp(−Φ(ξ)) -expansion method is an efficient method for obtaining exact traveling wave solutions of nonlinear evolution equations. In this paper, the exp(−Φ(ξ)) -expansion method is applied to construct exact traveling wave solutions of the simplified MCH equation. The traveling wave solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. It is shown that the method is straightforward and effective mathematical tool for solving nonlinear evolution equations in mathematical physics and engineering.

Keywords :

The exp(−Φ(ξ)) -expansion method, the simplified MCH equation, traveling wave solutions, solitary wave solutions.

Full Article - PDF    Page 595-605

DOI : 10.9734/BJMCS/2015/10800

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