Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model

Abstract

A new super-Backlund transformation for the N=1 supersymmetric sinh-Gordon equation is constructed. Based on this construction we propose a type-II integrable defect for the supersymmetric sinh-Gordon model consistent with this new transformation through the Lagrangian formalism. Explicit expressions for the modified conserved energy, momentum and supercharges are also computed. In addition, we show for the model that the type-II defect can also been regarded as a pair of fused defects of a previously introduced type. The explicit derivation of the associated defect matrices is also presented as a necessary condition for the integrability of the model.

arXiv commentLatex 31 pages. Version accepted for publication

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• Novel results for kinklike structures and their connections to quantum mechanics
• Quantum anomalies in A^{(1)}_r Toda theories with defects
• Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
• Fusing defect for the N=2 super sinh-Gordon model
• New negative grade solitonic sector for supersymmetric KdV and mKdV hierarchies