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 50 条

[31] Gauge transformations to combine multi-component many-body interatomic potentials
Bonny, G.
Pasianot, R. C.
PHILOSOPHICAL MAGAZINE LETTERS, 2010, 90 (08) : 559 - 563
[32] A binary Darboux transformation for multi-component nonlinear Schrödinger equations and dark vector soliton solutions
Ye, Rusuo
Zhang, Yi
PHYSICS OF FLUIDS, 2023, 35 (11)
[33] Bi-Manual Manipulation of Multi-Component Garments towards Robot-Assisted Dressing
Kotsovolis, Stelios
Demiris, Yiannis
2023 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA 2023), 2023, : 9865 - 9871
[34] Darboux Transformation and Symbolic Computation on Multi-Soliton and Periodic Solutions for Multi-Component Nonlinear Schrodinger Equations in an Isotropic Medium
Zhang, Hai-Qiang
Xu, Tao
Lu, Juan
Li, Li-Li
Zhang, Cheng
Tian, Bo
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (5-6): : 300 - 308
[35] Mechanochemical spinodal decomposition: a phenomenological theory of phase transformations in multi-component, crystalline solids
Shiva Rudraraju
Anton Van der Ven
Krishna Garikipati
npj Computational Materials, 2
[36] Mechanochemical spinodal decomposition: a phenomenological theory of phase transformations in multi-component, crystalline solids
Rudraraju, Shiva
Van der Ven, Anton
Garikipati, Krishna
NPJ COMPUTATIONAL MATERIALS, 2016, 2
[37] Lewis acidic metal catalysed organic transformations by designed multi-component structures and assemblies
Ali, Afsar
Singh, Amit P.
Gupta, Rajeev
JOURNAL OF CHEMICAL SCIENCES, 2010, 122 (03) : 311 - 320
[38] Lewis acidic metal catalysed organic transformations by designed multi-component structures and assemblies
Afsar Ali
Amit P. Singh
Rajeev Gupta
Journal of Chemical Sciences, 2010, 122 : 311 - 320
[39] Multi-component semi-discrete coupled dispersionless integrable system, its lax pair and Darboux transformation
Riaz, H. Wajahat A.
ul Hassan, Mahmood
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 61 : 71 - 83
[40] Shock-tube study of the ignition of multi-component syngas mixtures with and without ammonia impurities
Mathieu, O.
Kopp, M. M.
Petersen, E. L.
PROCEEDINGS OF THE COMBUSTION INSTITUTE, 2013, 34 : 3211 - 3218

← 1 2 3 4 5 →