Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11007538 | Wave Motion | 2018 | 14 Pages |
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 Nâdark 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.
Keywords
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Geology
Authors
Zong-Wei Xu, Guo-Fu Yu, Zuo-Nong Zhu,