English

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

Exactly Solvable and Integrable Systems 2017-02-08 v4 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.nlin/0002003,
  title  = {A note on the appearance of self-dual Yang-Mills fields in integrable hierarchies},
  author = {László Fehér and András Gábor},
  journal= {arXiv preprint arXiv:nlin/0002003},
  year   = {2017}
}