Solitons, Shock Waves, Conservation Laws and Bifurcation Analysis of Boussinesq Equation with Power Law Nonlinearity and Dual Dispersion

Authors

Anjan Biswas, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA\\ Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi ArabiaFollow
Ming Song
Houria Triki
Abdul H. Kara
Bouthina S. Ahmed
Andre Strong

Author Country (or Countries)

Saudi Arabia

Abstract

This paper obtains the soliton solutions to the Boussinesq equation with the effect of surface tension being taken into account. The power law nonlinearity is considered. Three integration tools are adopted in order to extract the soliton solutions. They are the traveling wave hypothesis, ansatz method and the semi-inverse variational principle. Finally, the Lie symmetry approach is adopted to extract the conservation laws of this equation.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080303

Recommended Citation

Biswas, Anjan; Song, Ming; Triki, Houria; H. Kara, Abdul; S. Ahmed, Bouthina; and Strong, Andre (2014) "Solitons, Shock Waves, Conservation Laws and Bifurcation Analysis of Boussinesq Equation with Power Law Nonlinearity and Dual Dispersion," Applied Mathematics & Information Sciences: Vol. 08: Iss. 3, Article 3.
DOI: http://dx.doi.org/10.12785/amis/080303
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss3/3