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

PHYSICA D-NONLINEAR PHENOMENA

卷:325

Article

Mikhailov, Alexander V.²  Papamikos, Georgios¹  Wang, Jing Ping¹ 

[1] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury, Kent, England

[2] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

关键词: Dressing method;    Multi-soliton solutions;    Vector sine-Gordon equation;    Reduction group;   

DOI  :  10.1016/j.physd.2016.01.010

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free