Variations of $q$-Garnier system

Abstract

We study several variants of q-Garnier system corresponding to various directions of discrete time evolutions. We also investigate a relation between the $q$-Garnier system and Suzuki's higher order $q$-Painlev/'e system by using a duality of the $q$-KP system.

20 pages, 1 tables

References in corpus (3)

• An Elliptic Garnier System from Interpolation
• A Variation of the $q$-Painlevé System with Affine Weyl Group Symmetry of Type $E_7^{(1)}$
• The Padé interpolation method applied to additive difference Painlevé equations

Cited by in corpus (6)

• 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
• An affine Weyl group action on the basic hypergeometric series arising from the $q$-Garnier system
• On $q$-Isomonodromic Deformations and $q$-Nekrasov Functions
• Two variations on $(A_3\times A_1\times A_1{)}^{(1)}$ type discrete Painlevé equations