A class of higher order Painleve systems arising from integrable hierarchies of type A

Abstract

A relationship between Painleve systems and infinite-dimensional integrable hierarchies is studied. We derive a class of higher order Painleve systems from Drinfeld-Sokolov (DS) hierarchies of type A by similarity reductions. This result allows us to understand some properties of Painleve systems, Hamiltonian structures, Lax pairs and affine Weyl group symmetries.

21 pages

References in corpus (1)

• A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function ${}_{n+1}{F}_n$

Cited by in corpus (6)

• A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function ${}_{n+1}{F}_n$
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• On $q$-Isomonodromic Deformations and $q$-Nekrasov Functions
• Higher order Painleve system of type D^{(1)}_{2n+2} and monodromy preserving deformation