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17 September 2019
 
  » arxiv » nlin.SI/0311024

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A class of Einstein--Weyl spaces associated to an integrable system of hydrodynamic type
Maciej Dunajski ;
Date 13 Nov 2003
Journal J.Geom.Phys 51 (2004) 126-137
Subject Exactly Solvable and Integrable Systems; Differential Geometry | nlin.SI gr-qc hep-th math.DG
AbstractHyperCR 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.
Source arXiv, nlin.SI/0311024
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