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A class of Einstein--Weyl spaces associated to an integrable system of hydrodynamic type

Maciej Dunajski
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Abstract

HyperCR Einstein--Weyl equations in 2+1 dimensions reduce to a pair of quasi-linear PDEs of hydrodynamic type. All solutions to this hydrodynamic system can be in principle constructed from a twistor correspondence, thus establishing the integrability. Simple examples of solutions including the hydrodynamic reductions yield new Einstein--Weyl structures.

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Maciej Dunajski. 2004-02-09. A class of Einstein--Weyl spaces associated to an integrable system of hydrodynamic type. https://doi.org/10.1016/j.geomphys.2004.01.004

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