| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1895615 | Physica D: Nonlinear Phenomena | 2016 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Alexander V. Mikhailov, Georgios Papamikos, Jing Ping Wang,