The sine-Gordon model in the presence of defects

2013/01/28 by Jean Avan, Anastasia Doikou
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Dynamical systems theory #Integrable system #Involution (esoterism) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/1742-6596/411/1/012003

published as J. Phys. Conf. Ser. 411 (2013) 012003 · 15 pages, Latex. This is based on a talk presented by A.D. in "Integrable systems and quantum symmetries", Prague, June 2012

openalex publication_date 2013/01/28 · arxiv created 2013/02/11 · arxiv updated 2013/02/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The sine-Gordon model in the presence of dynamical integrable defects is investigated. This is an application of the algebraic formulation introduced for integrable defects in earlier works. The quantities in involution as well as the associated Lax pairs are explicitly extracted. Integrability i also shown using certain sewing constraints, which emerge as suitable continuity conditions.

Citations

• Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories
• A new class of integrable defects
• Liouville integrable defects: the non-linear Schrödinger paradigm
• A transmission matrix for a fused pair of integrable defects in the sine-Gordon model