Special solutions of the additive discrete Painlev equation with $E_6^{(1)}$ symmetry

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• 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.

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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.

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