A dispersionless integrable system associated to Diff$(S^1)$ gauge theory
Exactly Solvable and Integrable Systems
2016-09-08 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A dispersionless integrable system underlying 2+1-dimensional hyperCR Einstein--Weyl structures is obtained as a symmetry reduction of the anti--self--dual Yang--Mills equations with the gauge group Diff. Two special classes of solutions are obtained from well known soliton equations by embedding SU(1,1) in .
Cite
@article{arxiv.nlin/0503030,
title = {A dispersionless integrable system associated to Diff$(S^1)$ gauge theory},
author = {Maciej Dunajski and George Sparling},
journal= {arXiv preprint arXiv:nlin/0503030},
year = {2016}
}
Comments
Final version, to appear in Physics Letters A