A new construction of the Drinfeld-Sokolov Hierarchies

2013/12/04 by Paolo Casati, Casati, Paolo
Mathematics · Physics and Astronomy · #37K10 Secondary 53D5 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:37K10 #msc:53D5 #nlin.SI

paper · pdf · doi:10.48550/arxiv.1312.1066

references added

arxiv created 2013/12/11 · arxiv updated 2013/12/12

Abstract

The Drinfeld-Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the computations of a formal Laurent series.

Related

• On the Drinfeld-Sokolov Hierarchies of D type
• Simple Lie algebras, Drinfeld--Sokolov hierarchies, and multi-point correlation functions
• Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems
• Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures
• KdV type systems and W-algebras in the Drinfeld-Sokolov approach