Topological Defects and Bifurcation Analysis of the DS Equation with Power Law Nonlinearity

Authors

Ming Song, Department of Mathematics, Shaoxing University, Shaoxing 312000,China\\ Department of Mathematics, Yuxi Normal University, Yuxi 653100, ChinaFollow
Anjan Biswas, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA\\ Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi ArabiaFollow

Author Country (or Countries)

China

Abstract

This paper studies the Davey-Stewartson equation with power law nonlinearity. The bifurcation analysis will be carried out. This analysis will obtain several different solutions to this equation. The phase portraits will also be given. Additionally, the ansatz method will reveal the fact that topological defects, also known as topological solitons, will exist provided the power law nonlinearity collapses to cubic nonlinear medium.

Recommended Citation

Song, Ming and Biswas, Anjan (2015) "Topological Defects and Bifurcation Analysis of the DS Equation with Power Law Nonlinearity," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 8.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/8