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

Maciej Dunajski·George Sparling
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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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Maciej Dunajski, George Sparling. 2005-06-10. A dispersionless integrable system associated to Diff$(S^1)$ gauge theory. https://doi.org/10.1016/j.physleta.2005.06.014

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