Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories

E Corrigan; C Zambon

doi:10.1088/0951-7715/19/6/012

Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories

E Corrigan, C Zambon

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Recent work on purely transmitting 'jump-defects' in the sine-Gordon model and other relativistic field theories is extended to non-relativistic models. In all the cases investigated the defect conditions are provided by 'frozen' Backlund transformations and it is also shown via a Lax pair argument how integrability will be preserved in the presence of this type of defect. Explicit examples of the scattering of solitons by defects are given, and bound states associated with 'jump-defects' in the nonlinear Schrodinger (NLS) model are described. Although the NLS model provides the principal example, some results are also presented for the Korteweg-de Vries and modified Korteweg-de Vries equations.

Original language	English
Pages (from-to)	1447-1469
Number of pages	23
Journal	Nonlinearity
Volume	19
Issue number	6
DOIs	https://doi.org/10.1088/0951-7715/19/6/012
Publication status	Published - Jun 2006

Keywords

INTERACTING BOSE-GAS
STATISTICAL-MODELS
SCATTERING
EQUATION
LINE

Access to Document

10.1088/0951-7715/19/6/012

Cite this

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title = "Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories",

abstract = "Recent work on purely transmitting 'jump-defects' in the sine-Gordon model and other relativistic field theories is extended to non-relativistic models. In all the cases investigated the defect conditions are provided by 'frozen' Backlund transformations and it is also shown via a Lax pair argument how integrability will be preserved in the presence of this type of defect. Explicit examples of the scattering of solitons by defects are given, and bound states associated with 'jump-defects' in the nonlinear Schrodinger (NLS) model are described. Although the NLS model provides the principal example, some results are also presented for the Korteweg-de Vries and modified Korteweg-de Vries equations.",

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T1 - Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories

AU - Corrigan, E

AU - Zambon, C

PY - 2006/6

Y1 - 2006/6

N2 - Recent work on purely transmitting 'jump-defects' in the sine-Gordon model and other relativistic field theories is extended to non-relativistic models. In all the cases investigated the defect conditions are provided by 'frozen' Backlund transformations and it is also shown via a Lax pair argument how integrability will be preserved in the presence of this type of defect. Explicit examples of the scattering of solitons by defects are given, and bound states associated with 'jump-defects' in the nonlinear Schrodinger (NLS) model are described. Although the NLS model provides the principal example, some results are also presented for the Korteweg-de Vries and modified Korteweg-de Vries equations.

AB - Recent work on purely transmitting 'jump-defects' in the sine-Gordon model and other relativistic field theories is extended to non-relativistic models. In all the cases investigated the defect conditions are provided by 'frozen' Backlund transformations and it is also shown via a Lax pair argument how integrability will be preserved in the presence of this type of defect. Explicit examples of the scattering of solitons by defects are given, and bound states associated with 'jump-defects' in the nonlinear Schrodinger (NLS) model are described. Although the NLS model provides the principal example, some results are also presented for the Korteweg-de Vries and modified Korteweg-de Vries equations.

KW - INTERACTING BOSE-GAS

KW - STATISTICAL-MODELS

KW - SCATTERING

KW - EQUATION

KW - LINE

U2 - 10.1088/0951-7715/19/6/012

DO - 10.1088/0951-7715/19/6/012

M3 - Article

SN - 1361-6544

VL - 19

SP - 1447

EP - 1469

JO - Nonlinearity

JF - Nonlinearity

IS - 6

ER -