A note on the appearance of self-dual Yang-Mills fields in integrable hierarchies

Abstract

A family of mappings from the solution spaces of certain generalized Drinfeld-Sokolov hierarchies to the self-dual Yang-Mills system on R^{2,2} is described. This provides an extension of the well-known relationship between self-dual connections and integrable hierarchies of AKNS and Drinfeld-Sokolov type.

References in corpus (3)

• Regular Conjugacy Classes in the Weyl Group and Integrable Hierarchies
• Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction
• Nonstandard Drinfeld-Sokolov reduction