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