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Dressing method for the vector sine-Gordon equation and its soliton interactions

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. (Contact us about this Publication)
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
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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Jing Ping Wang
Date Deposited: 27 Oct 2015 15:05 UTC
Last Modified: 06 Feb 2020 04:13 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/51239 (The current URI for this page, for reference purposes)
Wang, Jing Ping: https://orcid.org/0000-0002-6874-5629
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