A dispersionless integrable system associated to Diff$(S^1)$ gauge theory

Details A dispersionless integrable system associated to Diff$(S^1)$ gauge theory A dispersionless integrable system associated to Diff$(S^1)$ gauge theory

2005-03-13

arxiv.org/abs/nlin/0503030v3

Phys.Lett. A343 (2005) 129-132

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Final version, to appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2005.06.014

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 ${Diff}(S^1)$.

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