Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems

Abstract

We study the Drinfeld-Sokolov hierarchies of type A_n^{(1)} associated with the regular conjugacy classes of W(A_n). A class of fourth order Painleve systems is derived from them by similarity reductions.

arXiv comment25 pages

References in corpus (2)

• Higher order Painlevé equations of type $A_l^{(1)}$
• Birational Weyl group action arising from a nilpotent Poisson algebra

Cited by in corpus (5)

• A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function ${}_{n+1}{F}_n$
• Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems
• A q-analogue of the Drinfeld-Sokolov hierarchy of type A and q-Painleve system
• On solutions of the Fuji-Suzuki-Tsuda system
• On $q$-Isomonodromic Deformations and $q$-Nekrasov Functions