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A New class of integrable defects

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JournalJournal of Physics A: Mathematical and Theoretical
DatePublished - 27 Nov 2009
Issue number47
Volume42
Number of pages20
Pages (from-to)1-20
Original languageEnglish

Abstract

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.

    Research areas

  • mathematical physics;, statistical physics;, nonlinear systems;

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