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.
|Number of pages||20|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 27 Nov 2009|
- mathematical physics;
- statistical physics;
- nonlinear systems;