Darboux-Backlund transformations, dressing & impurities in multi-component NLS

被引：10

作者：

Adamopoulou, Panagiota ^{[1
]}

Doikou, Anastasia ^{[1
]}

Papamikos, Georgios ^{[2
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Univ Reading, Dept Math & Stat, Reading RG6 6AX, Berks, England

来源：

NUCLEAR PHYSICS B | 2017年 / 918卷

关键词：

EVOLUTION-EQUATIONS; DEFECTS; INTEGRABILITY; MODEL;

D O I：

10.1016/j.nuclphysb.2017.02.016

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We consider the discrete and continuous vector non-linear Schrodinger (NLS) model. We focus on the case where space-like local discontinuities are present, and we are primarily interested in the time evolution on the defect point. This in turn yields the time part of a typical Darboux-Backlund transformation. Within this spirit we then explicitly work out the generic Backlund transformation and the dressing associated to both discrete and continuous spectrum, i.e. the Darboux transformation is expressed in the matrix and integral representation respectively. (C) 2017 The Author(s). Published by Elsevier B.V.

引用

页码：91 / 114

页数：24

共 49 条

[1]

Ablowitz M J, 2004, LECT NOTES SERIES, V302

[2]

Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering

[3] NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE [J].