Solitons, Cnoidal Waves, Snoidal Waves and Other Solutions to Whitham-Broer-Kaup System

Authors

A. H. Bhrawy, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia\\ Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
M. A. Abdelkawy
E. M. Hilal
A. A. Alshaery
A. Biswas

Author Country (or Countries)

Egypt

Abstract

Using a computerized symbolic computation technique based on improved Jacobi elliptic function method, we find several solutions for Whitham-Broer-Kaup-Like (WBKL) system. These solutions contain hyperbolic, triangular solutions. When the parameters are taken as special values the solitary wave solutions can be obtained for other systems. The traveling wave solutions are also discussed that obtains solitary wave and singular soliton solution.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080505

Recommended Citation

H. Bhrawy, A.; A. Abdelkawy, M.; M. Hilal, E.; A. Alshaery, A.; and Biswas, A. (2014) "Solitons, Cnoidal Waves, Snoidal Waves and Other Solutions to Whitham-Broer-Kaup System," Applied Mathematics & Information Sciences: Vol. 08: Iss. 5, Article 5.
DOI: http://dx.doi.org/10.12785/amis/080505
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/5