Mikhailov, Alexander V., Papamikos, Georgios, Wang, Jing Ping (2016) Dressing method for the vector sine-Gordon equation and its soliton interactions. Physica D: Nonlinear Phenomena, 325 . pp. 53-62. ISSN 0167-2789. (doi:10.1016/j.physd.2016.01.010) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:51239)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1016/j.physd.2016.01.010 |
Abstract
In this paper, we develop the dressing method to study the exact solutions for the vector sine-Gordon equation. The explicit formulas for one kink and one breather are derived. The method can be used to construct multi-soliton solutions. Two soliton interactions are also studied. The formulas for position shift of the kink and position and phase shifts of the breather are given. These quantities only depend on the pole positions of the dressing matrices.
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.physd.2016.01.010 |
| Uncontrolled keywords: | Dressing method; Multi-soliton solutions; Vector sine-Gordon equation; Reduction group |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Funders: | Engineering and Physical Sciences Research Council (https://ror.org/0439y7842) |
| Depositing User: | Jing Ping Wang |
| Date Deposited: | 27 Oct 2015 15:05 UTC |
| Last Modified: | 05 Nov 2024 10:37 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/51239 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Wang, Jing Ping.
| Creator's ORCID: |
 https://orcid.org/0000-0002-6874-5629
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