The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content



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


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.


[pdf ]


The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧