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

Mikhailov, Alexander V and Papamikos, Georgios and Wang, Jing Ping (2016) 'Dressing method for the vector sine-Gordon equation and its soliton interactions.' Physica D: Nonlinear Phenomena, 325. 53 - 62. ISSN 0167-2789

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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
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 20 Jan 2020 14:24
Last Modified: 20 Jan 2020 14:24
URI: http://repository.essex.ac.uk/id/eprint/26519

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