Grassmanian and Bosonic Thirring Models with Jump Defects

Abstract

In this paper we discuss the Lax formulation of the Grassmanian and Bosonic Thirring models in the presence of jump defects. For the Grassmanian case, the defect is described by Bäcklund transformation which is responsible for preserving the integrability of the model. We then propose an extension of the Bäcklund transformation for the Bosonic Thirring model which is verified by some Bäcklund transitions like Vacuum-One soliton, One soliton - One soliton, One soliton - Two solitons and Two solitons - Two solitons. The Lax formulation within the space split by the defect leads to the integrability of Bosonic Thirring model.

Latex 21 pages

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• Defects in the supersymmetric mKdV hierarchy via Backlund transformations
• N=1 super sinh-Gordon model in the half line: Breather solutions
• Integrable coupled massive Thirring model with field values in a Grassmann algebra