E Corrigan and C Zambon 2009 J. Phys. A: Math. Theor. 42 475203 doi:10.1088/1751-8113/42/47/475203
A new class of integrable defects
E Corrigan and C Zambon
Show affiliationsAn 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.
- PACS
- MSC
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35Q51 Solitons (See also 37K40)
- Subjects
- Dates
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Issue 47 (27 November 2009)
Received 21 August 2009
Published 4 November 2009
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A new class of integrable defects
E Corrigan and C Zambon 2009 J. Phys. A: Math. Theor. 42 475203
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