A New class of integrable defects
Aug, 2009Citations per year
Abstract: (arXiv)
An alternative Lagrangian definition of an integrable defect is provided and analyzed. The new approach is sufficiently broad to allow a description of defects within the Tzitzeica 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 Backlund transformations is described and a Hamiltonian description of integrable defects is proposed.Note:
- 24 pages
- defect: integrability
- Lagrangian formalism
- Baecklund transformation
- field equations: Liouville
- Hamiltonian formalism
- constraint
- sine-Gordon equation: soliton
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