The sixth Painleve equation arising from D_4^{(1)} hierarchy

Abstract

The sixth Painleve equation arises from a Drinfel'd-Sokolov hierarchy associated with the affine Lie algebra of type D_4 by similarity reduction.

14 pages

References in corpus (3)

• Higher order Painlevé equations of type $A_l^{(1)}$
• Regular Conjugacy Classes in the Weyl Group and Integrable Hierarchies
• Birational Weyl group action arising from a nilpotent Poisson algebra

Cited by in corpus (2)

• From KP/UC hierarchies to Painleve equations
• Derivation of Painlevé type system with $D_4^{(1)}$ affine Weyl group symmetry in a self-similarity limit