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Symmetry 2019, 11(1), 20; https://doi.org/10.3390/sym11010020

New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation

1
Department of Engineering Science, Kermanshah University of Technology, Kermanshah 6713954658, Iran
2
Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara 06530, Turkey
3
Institute of Space Sciences, P.O. Box, MG-23, R 76900 Magurele-Bucharest, Romania
4
Department of Mathematics, College of Science, King Saud University, Riyadh 11495, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 5 December 2018 / Revised: 22 December 2018 / Accepted: 25 December 2018 / Published: 27 December 2018
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
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Abstract

The recently introduced technique, namely the generalized exponential rational function method, is applied to acquire some new exact optical solitons for the generalized Benjamin–Bona–Mahony (GBBM) equation. Appropriately, we obtain many families of solutions for the considered equation. To better understand of the physical features of solutions, some physical interpretations of solutions are also included. We examined the symmetries of obtained solitary waves solutions through figures. It is concluded that our approach is very efficient and powerful for integrating different nonlinear pdes. All symbolic computations are performed in Maple package. View Full-Text
Keywords: exact solutions; the generalized Benjamin–Bona–Mahony equation; generalized exponential rational function method; solitary wave solutions; symbolic computation exact solutions; the generalized Benjamin–Bona–Mahony equation; generalized exponential rational function method; solitary wave solutions; symbolic computation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ghanbari, B.; Baleanu, D.; Al Qurashi, M. New Exact Solutions of the Generalized Benjamin–Bona–Mahony Equation. Symmetry 2019, 11, 20.

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