2009/08/21 by E. Corrigan, E Corrigan, C Zambon +1 · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Elasticity and Material Modeling #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th #nlin.SI
paper · pdf · doi:10.1088/1751-8113/42/47/475203
published as J.Phys.A42:475203,2009 · 24 pages
arxiv created 2009/08/21 · openalex publication_date 2009/11/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
An alternative Lagrangian definition of an integrable defect is provided and analysed. The new approach is sufficiently broad to allow a description of defects within the Tzitzéica model, which was not possible in previous approaches, and may be generalizable. New, two-parameter, sine-Gordon defects are also described, which have characteristics resembling a pair of ‘fused’ defects of a previously considered type. The relationship between these defects and Bäcklund transformations is described and a Hamiltonian description of integrable defects is proposed.