Physical Science International Journal

Traveling Wave Solutions of the Nonlinear (1+1)-Dimensional Modified Benjamin-Bona-Mahony Equation by Using Novel (G'/G)-Expansion Method

Md. Nur Alam

Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh

M. Ali Akbar *

Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh

*Author to whom correspondence should be addressed.

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Abstract

Exact solutions of nonlinear evolution equations play very important role to make known the inner mechanism of intricate physical phenomena. In this article, the novel -expansion method is applied to construct traveling wave solutions of the (1+1)-dimensional modified Benjamin-Bona-Mahony equation. The performance of this method is reliable, effective and giving many new exact solutions than the existing methods. The obtained solutions are expressed in terms of hyperbolic, trigonometric and rational functions including solitary and periodic solutions which have many potential applications in physical science and engineering.

 

Keywords: The new ( )-exphansion method, the (1 1)-dimensional modified Benjamin-Bona-Mahony equation, travelling wave solutions, nonlinear evolution equations

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