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

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

2003-11-13

arxiv.org/abs/nlin/0311024v2

J.Geom.Phys 51 (2004) 126-137

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Final version. To appear in JGP

Scientific paper

10.1016/j.geomphys.2004.01.004

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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