A dispersionless integrable system associated to Diff$(S^1)$ gauge theory
Dunajski, Maciej ; Sparling, George
arXiv, 0503030 / Harvested from arXiv
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$(S^1)$. Two special classes of solutions are obtained from well known soliton equations by embedding SU(1,1) in ${Diff}(S^1)$.
Publié le : 2005-03-13
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  High Energy Physics - Theory,  Mathematical Physics
@article{0503030,
     author = {Dunajski, Maciej and Sparling, George},
     title = {A dispersionless integrable system associated to Diff$(S^1)$ gauge
  theory},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503030}
}
Dunajski, Maciej; Sparling, George. A dispersionless integrable system associated to Diff$(S^1)$ gauge
  theory. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503030/