Solitary Wave Solutions of the Benjamin-Bona- Mahoney-Burgers Equation with Dual Power-Law Nonlinearity

Authors

Mostafa M. A. Khater, Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt.Follow
Dianchen Lu, Department of Mathematics, Faculty of Science, Jiangsu University, China.Follow
Emad H. M. Zahran, Department of mathematical and physical engineering , University of Benha, Faculty of engineering Shubra, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

In this paper, we employ the extended tanh function method to find the exact traveling wave solutions and solitary wave solutions involving parameters of the Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. These studies reveal that the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-law nonlinearity has a rich variety of solutions

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110511

Recommended Citation

M. A. Khater, Mostafa; Lu, Dianchen; and H. M. Zahran, Emad (2017) "Solitary Wave Solutions of the Benjamin-Bona- Mahoney-Burgers Equation with Dual Power-Law Nonlinearity," Applied Mathematics & Information Sciences: Vol. 11: Iss. 5, Article 11.
DOI: http://dx.doi.org/10.18576/amis/110511
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss5/11