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

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). Two special classes of solutions are obtained from well known soliton equations by embedding SU(1, 1) in Diff(S). email M.Dunajski@damtp.cam.ac.uk email… (More)

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