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

preprint2005arXivOpen access

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

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A dispersionless integrable system associated to Diff(S1)(S^1)(S1) gauge theory

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