Isaac Newton Institute for Mathematical Sciences

The Drinfeld-Sokolov hierarchies of type A: q-analogue and application to Painleve systems

Author: Takao Suzuki (Kobe University)

Abstract

The Drinfeld-Sokolov hierarchies are extensions of KdV (or mKdV) hierarchy for affine Lie algebra. We consider a formulation of their q-analogue. We also apply its result to Painleve systems.