Lax formalism for q-Painleve equations with affine Weyl group symmetry of type E^{(1)}_n

Abstract

An explicit form of the Lax pair for the q-difference Painleve equation with affine Weyl group symmetry of type E^{(1)}_8 is obtained. Its degeneration to E^{(1)}_7, E^{(1)}_6 and D^{(1)}_5 cases are also given.

13 pages

References in corpus (1)

• A geometric approach to tau-functions of difference Painlevé equations

Cited by in corpus (4)

• Construction of a Lax Pair for the $E_6^{(1)}$ $q$-Painlevé System
• Semi-classical Orthogonal Polynomial Systems on Non-uniform Lattices, Deformations of the Askey Table and Analogs of Isomonodromy
• The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I
• A Variation of the $q$-Painlevé System with Affine Weyl Group Symmetry of Type $E_7^{(1)}$