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Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method

Md Nur Alam1 and M Ali Akbar2*

Author Affiliations

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

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

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SpringerPlus 2013, 2:617  doi:10.1186/2193-1801-2-617

Published: 19 November 2013


The new approach of the generalized (G′/G)-expansion method is an effective and powerful mathematical tool in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in science, engineering and mathematical physics. In this article, the new approach of the generalized (G′/G)-expansion method is applied to construct traveling wave solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. By means of this scheme, we found some new traveling wave solutions of the above mentioned equation.