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A class of Einstein--Weyl spaces associated to an integrable system of hydrodynamic type | | Maciej Dunajski
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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 | | 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. | | Source: | arXiv, nlin.SI/0311024 | | Services: | Forum | Review | PDF | Favorites | |
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