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.
| Original language | English |
|---|---|
| Article number | 475203 |
| Pages (from-to) | 1-20 |
| Number of pages | 20 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 42 |
| Issue number | 47 |
| DOIs | |
| Publication status | Published - 27 Nov 2009 |
Keywords
- mathematical physics;
- statistical physics;
- nonlinear systems;