Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation

Didier Belobo Belobo; Tapas Das

doi:10.1016/j.cnsns.2017.01.001

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arXiv · 1701.08850

Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation

Didier Belobo Belobo·Tapas Das

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Abstract

Exact bright, dark, antikink solitary waves and Jacobi elliptic function solutions of the generalized Benjamin-Bona-Mahony equation with arbitrary power-law nonlinearity will be constructed in this work. The method used to carry out the integration is the F-expansion method. Solutions obtained have fractional and integer negative or positive power-law nonlinearities. These solutions have many free parameters such that they may be used to simulate many experimental situations, and to precisely control the dynamics of the system.

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Didier Belobo Belobo, Tapas Das. 2017-01-24. Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation. https://doi.org/10.1016/j.cnsns.2017.01.001

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