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A New class of integrable defects
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| Journal | Journal of Physics A: Mathematical and Theoretical |
|---|---|
| Date | Published - 27 Nov 2009 |
| Issue number | 47 |
| Volume | 42 |
| Number of pages | 20 |
| Pages (from-to) | 1-20 |
| Original language | English |
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.
- mathematical physics;, statistical physics;, nonlinear systems;
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