The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems

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dc.creatorNijhoff, F. W.
dc.creatorWalker, A. J.
dc.date2000-01-25
dc.date.accessioned2026-07-07T05:32:38Z
dc.date.available2026-07-07T05:32:38Z
dc.descriptionWe present a general scheme to derive higher-order members of the Painleve VI (PVI) hierarchy of ODE's as well as their difference analogues. The derivation is based on a discrete structure that sits on the background of the PVI equation and that consists of a system of partial difference equations on a multidimensional lattice. The connection with the isomonodromic Garnier systems is discussed.
dc.descriptionLaTeX2e,18 pages, 3 postscript figures, submitted to Glasgow Mathematical Journal Trust for Island I proceedinds
dc.identifierhttps://arxiv.org/abs/nlin/0001054
dc.identifierhttp://arxiv.org/abs/nlin/0001054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79725
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectAnalysis of PDEs
dc.titleThe Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems
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