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Zbl 0875.35115
Fokas, A.S.; Its, A.R.; Zhou, Xin
Continuous and discrete Painlevé equations.
(English)
[A] Levi, Decio (ed.) et al., Painlevé transcendents: their asymptotics and physical applications. Proceedings of the NATO Advanced Research Workshop, Sainte-Adèle, Canada, September 3-7, 1990. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 278, 33-47 (1992). ISBN 0-306-44050-4/hbk

In this talk the authors present their results concerning continuous and discrete Painlevé equations and connections to Riemann-Hilbert problems and the inverse monodromic transform.
MSC 2000:
*35Q58 Other completely integrable PDE
35Q05 Euler-Poisson-Darboux equation and generalizations
35R30 Inverse problems for PDE

Keywords: Painlevé equations; Riemann-Hilbert problems; inverse monodromic transform

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