Affine Weyl group approach to Painlevé equations

Abstract

An overview is given on recent developments in the affine Weyl group approach to Painlevé equations and discrete Painlevé equations, based on the joint work with Y. Yamada and K. Kajiwara.

References in corpus (6)

• Higher order Painlevé equations of type $A_l^{(1)}$
• A study on the fourth q-Painlevé equation
• Birational Weyl group action arising from a nilpotent Poisson algebra
• q-Painlevé systems arising from q-KP hierarchy
• Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions
• Discrete dynamical systems with $W(A_{m-1}^{(1)}\times A_{n-1}^{(1)})$ symmetry

Cited by in corpus (4)

• Quantum Painlevé systems of type $A_l^{(1)}$
• On an isomonodromy deformation equation without the Painlevé property
• A Symmetric System of Mixed Painleve III - V Equations and its Integrable Origin
• A symmetry reduction technique for higher order Painlevé systems