A class of Einstein--Weyl spaces associated to an integrable system of hydrodynamic type
Exactly Solvable and Integrable Systems
2009-11-10 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Differential Geometry
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.
Keywords
Cite
@article{arxiv.nlin/0311024,
title = {A class of Einstein--Weyl spaces associated to an integrable system of hydrodynamic type},
author = {Maciej Dunajski},
journal= {arXiv preprint arXiv:nlin/0311024},
year = {2009}
}
Comments
Final version. To appear in JGP