A dispersionless integrable system associated to Diff(S¹) gauge theory
classification
🌊 nlin.SI
hep-thmath-phmath.MP
keywords
diffdispersionlessequationsgaugeintegrableobtainedsystemanti--self--dual
read the original 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$(S^1)$. 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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