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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Special solutions of the additive discrete Painlev equation with $E_6^{(1)}$ symmetry

## Special solutions of the additive discrete Painlev equation with $E_6^{(1)}$ symmetryAdd to your list(s) Download to your calendar using vCal - Ormerod, C (La Trobe University)
- Friday 12 July 2013, 09:30-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Integrable Systems We consider a reduction of the lattice potential Korteweg-de Vries equation. Using a parameterization of the Lax pair of Arinkin and Borodin, we identify the reduction as the additive discrete Painlev equation admitting an affine Weyl group of type $E_6^{(1)}$ as a group of Bcklund transformations. We use the reduced equations to obtain a family of explicitrational and hypergeometricsolutions of this discrete Painlev equation. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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