Dressing method for the vector sine-Gordon equation and its soliton interactions
Exactly Solvable and Integrable Systems
2016-03-11 v2
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.
Keywords
Cite
@article{arxiv.1506.01878,
title = {Dressing method for the vector sine-Gordon equation and its soliton interactions},
author = {Alexander V. Mikhailov and Georgios Papamikos and Jing Ping Wang},
journal= {arXiv preprint arXiv:1506.01878},
year = {2016}
}
Comments
in Physica D: Nonlinear Phenomena (2016)