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

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JournalNonlinearity
DatePublished - Jun 2006
Issue number6
Volume19
Number of pages23
Pages (from-to)1447-1469
Original languageEnglish

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.

    Research areas

  • INTERACTING BOSE-GAS, STATISTICAL-MODELS, SCATTERING, EQUATION, LINE

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