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arxiv: 0908.3126 · v1 · submitted 2009-08-21 · ✦ hep-th · nlin.SI

A new class of integrable defects

classification ✦ hep-th nlin.SI
keywords defectsintegrabledescribeddescriptionallowalternativeanalyzedapproach
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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.

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