The sine-Gordon model with integrable defects revisited

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作者
Jean Avan
Anastasia Doikou
机构
[1] LPTM,Department of Engineering Sciences
[2] Universite de Cergy-Pontoise (CNRS UMR 8089),undefined
[3] University of Patras,undefined
关键词
Integrable Hierarchies; Integrable Field Theories;
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摘要
Application of our algebraic approach to Liouville integrable defects is proposed for the sine-Gordon model. Integrability of the model is ensured by the underlying classical r-matrix algebra. The first local integrals of motion are identified together with the corresponding Lax pairs. Continuity conditions imposed on the time components of the entailed Lax pairs give rise to the sewing conditions on the defect point consistent with Liouville integrability.
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