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The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems | | F.W. Nijhoff
; A.J. Walker
; | | Date: |
25 Dec 1999 | | Subject: | Exactly Solvable and Integrable Systems; Algebraic Geometry; Analysis of PDEs | nlin.SI hep-th math.AG math.AP | | Abstract: | We 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. | | Source: | arXiv, nlin.SI/0001054 | | Services: | Forum | Review | PDF | Favorites | |
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