https://doi.org/10.1140/epjp/i2018-11937-8
Regular Article
Exact traveling soliton solutions for the generalized Benjamin-Bona-Mahony equation
1
Department of Physics, Faculty of Science, the University of Maroua, P.O. Box 814, Maroua, Cameroon
2
Department of Applied Mathematics, National Research Nuclear University MEPhI, Moskow, Russia
3
Higher Teachers’ Training College of Maroua, the University of Maroua, P.O. Box 55, Maroua, Cameroon
4
Department of Basic Science, Law and Humanities, Institute of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
5
Department of Physics, Faculty of Science, the University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
* e-mail: malwehubert@yahoo.fr
Received:
19
December
2017
Accepted:
13
February
2018
Published online:
15
March
2018
In this paper, we investigate the generalized Benjamin-Bona-Mahony equation which better describes long waves with arbitrary power-law nonlinearity. As a result, we obtain exact travelling wave soliton solutions, such as anti-kink soliton solution, bright soliton solution, dark soliton solution and periodic solution. These solutions have many free parameters such that they may be used to simulate many experimental situations. The main contribution, in this work, is to not apply the computer codes for construction of exact solutions and not consider the integration constants as zero, because they give all variants for solutions.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
