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

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

2000-02-03

arxiv.org/abs/nlin/0002003v4

J.Nonlin.Math.Phys. 7 (2000) 423-432

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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