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

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.

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Item Type:	Article
Authors/Creators:	Mikhailov, AV Papamikos, G Wang, JP
Copyright, Publisher and Additional Information:	© 2016, Elsevier B.V. All rights reserved. This is an author produced version of a paper published in Physica D: Nonlinear Phenomena. Uploaded in accordance with the publisher's self-archiving policy.
Dates:	Published: 15 June 2016 Published (online): 9 March 2016 Accepted: 28 January 2016
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User:	Symplectic Publications
Date Deposited:	14 Mar 2016 12:42
Last Modified:	14 Apr 2017 03:08
Published Version:	http://dx.doi.org/10.1016/j.physd.2016.01.010
Status:	Published
Publisher:	Elsevier
Identification Number:	10.1016/j.physd.2016.01.010
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:96339

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

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