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Continuous and discrete Painlevé equations. (English) Zbl 0875.35115

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).
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.
For the entire collection see [Zbl 0846.00007].

MSC:

35Q58 Other completely integrable PDE (MSC2000)
35Q05 Euler-Poisson-Darboux equations
35R30 Inverse problems for PDEs