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DIS

Seminar

Darboux transformations, discrete integrable systems and related Yang-Baxter maps

Konstantinou-Rizos, S (University of Leeds)
Tuesday 09 July 2013, 11:00-11:30

Seminar Room 1, Newton Institute

Abstract

In this talk we derive Darboux transformations which are invariant under the action of finite reduction groups. We present Darboux transformations for the NLS equation, the derivative NLS equation and a deformation of the derivative NLS equation. We use the associated Darboux matrices to define discrete Lax pairs and derive discrete integrable systems. Moreover, we use these Darboux matrices to construct 6-dimensional Yang-Baxter maps which can be restricted to 4-dimensional YB maps on invariant leaves. The former are completely integrable discrete maps.

Presentation

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