English

A new class of integrable defects

High Energy Physics - Theory 2009-11-18 v1 Exactly Solvable and Integrable Systems

Abstract

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.

Keywords

Cite

@article{arxiv.0908.3126,
  title  = {A new class of integrable defects},
  author = {E. Corrigan and C. Zambon},
  journal= {arXiv preprint arXiv:0908.3126},
  year   = {2009}
}

Comments

24 pages

R2 v1 2026-06-21T13:37:47.569Z