1. Bright–dark soliton solutions of the multi-component AB system
- Author
-
Zuo-Nong Zhu, Guo-Fu Yu, and Zong-Wei Xu
- Subjects
Physics ,Applied Mathematics ,Physical system ,General Physics and Astronomy ,Bilinear interpolation ,Nonlinear optics ,Pfaffian ,Astrophysics::Cosmology and Extragalactic Astrophysics ,01 natural sciences ,010305 fluids & plasmas ,Computational Mathematics ,Nonlinear Sciences::Exactly Solvable and Integrable Systems ,Geophysical fluid dynamics ,Modeling and Simulation ,Quantum mechanics ,0103 physical sciences ,Bound state ,Fluid dynamics ,Soliton ,Nonlinear Sciences::Pattern Formation and Solitons ,010301 acoustics - Abstract
In this paper, we investigate a multi-component AB system that appears in geophysical fluid dynamics. We construct bright–dark soliton solutions of the system using the Hirota’s bilinear method. We obtain asymptotic behaviors of two-soliton solution for the two-component AB system and prove that the interactions between two bright and two dark solitons are elastic. Under various parameter conditions, the oblique interactions and bound states of solitons are analyzed in detail. By use of the Pfaffian technique, we present N -bright and N − dark soliton solutions of the two- and multi-component AB system. The results obtained in this paper can be helpful for the study of vector multi-dark solitons in many physical systems such as nonlinear optics and fluid dynamics.
- Published
- 2018