Type-II Bäcklund Transformations via Gauge Transformations

Abstract

The construction of type II Backlund transformation for the sine-Gordon and the Tzitzeica-Bullough-Dodd models are obtained from gauge transformation. An infinite number of conserved quantities are constructed from the defect matrices. This guarantees that the introduction of type II defects for these models does not spoil their integrability. In particular, modified energy and momentum are derived and compared with those presented in recent literature.

Latex 19 pages, 2 tables. v2: Comments and two references added

References in corpus (5)

• Quantum and classical integrable sine-Gordon model with defect
• Liouville integrable defects: the non-linear Schrodinger paradigm
• Integrablility of a Classical $N=2$ Super Sinh-Gordon Model with Jump Defects
• The Bullough-Dodd model coupled to matter fields
• Grassmanian and Bosonic Thirring Models with Jump Defects

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• Generalized Backlund transformations for Affine Toda Hierarchies
• Integrability of generalised type II defects in affine Toda field theory
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• Lax pair formulation in the simultaneous presence of boundaries and defects
• Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy