2005/12/31 by E. Corrigan, E Corrigan, C Zambon +1 · 9 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th #nlin.SI
paper · pdf · doi:10.1088/0951-7715/19/6/012
published as Nonlinearity 19 (2006) 1447-1469 · Published version of the article with an extended introduction and some additional references
openalex publication_date 2006/05/15 · arxiv created 2006/06/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.