A q-analogue of the Drinfeld-Sokolov hierarchy of type A and q-Painleve system

Abstract

In this article, we propose a q-analogue of the Drinfeld-Sokolov hierarchy of type A. We also discuss its relationship with the q-Painleve VI equation and the q-hypergeometric function.

18 pages

References in corpus (3)

• A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function ${}_{n+1}{F}_n$
• A q-analogue of gl_3 hierarchy and q-Painleve VI
• Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems

Cited by in corpus (5)

• Discretisations of constrained KP hierarchies
• Generalized $q$-Painlevé VI systems of type $(A_{2n+1}+A_1+A_1{)}^{(1)}$ arising from cluster algebra
• A Variation of the $q$-Painlevé System with Affine Weyl Group Symmetry of Type $E_7^{(1)}$
• A Lax formulation of a generalized $q$-Garnier system
• A $q$-analogue of the matrix sixth Painlevé system