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

Add to your list(s) Download to your calendar using vCal

• Konstaninou-Rizos, S (University of Leeds)
• Tuesday 09 July 2013, 11:00-11:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Almarie Williams.

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.