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. pp. 53-62. DOI https://doi.org/10.1016/j.physd.2016.01.010
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. pp. 53-62. DOI https://doi.org/10.1016/j.physd.2016.01.010
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. pp. 53-62. DOI https://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 |
|---|---|
| Additional Information: | in Physica D: Nonlinear Phenomena (2016) |
| Uncontrolled Keywords: | Dressing method; Multi-soliton solutions; Vector sine-Gordon equation; Reduction group |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 20 Jan 2020 14:24 |
| Last Modified: | 30 Oct 2024 16:32 |
| URI: | http://repository.essex.ac.uk/id/eprint/26519 |
Available files
Filename: mpw_D.pdf