E. Corrigan
Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories.
Corrigan, E.; Zambon, C.
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' Bäcklund 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 Schrödinger (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.
Citation
Corrigan, E., & Zambon, C. (2005). Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories. Nonlinearity, 19(6), 1447-1469. https://doi.org/10.1088/0951-7715/19/6/012
Journal Article Type | Article |
---|---|
Publication Date | 2005 |
Deposit Date | Feb 17, 2011 |
Journal | Nonlinearity |
Print ISSN | 0951-7715 |
Electronic ISSN | 1361-6544 |
Publisher | IOP Publishing |
Peer Reviewed | Peer Reviewed |
Volume | 19 |
Issue | 6 |
Pages | 1447-1469 |
DOI | https://doi.org/10.1088/0951-7715/19/6/012 |
Public URL | https://durham-repository.worktribe.com/output/1543504 |
You might also like
Aspects of affine Toda field theory on a half line.
(1995)
Journal Article
A new class of integrable defects
(2009)
Journal Article
Comments on defects in the a_r Toda field theories
(2009)
Journal Article
A transmission matrix for a fused pair of integrable defects in the sine-Gordon model.
(2010)
Journal Article
Some aspects of jump-defects in the quantum sine-Gordon model
(2005)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search