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math-ph2012
Dispersionless integrable systems in 3D and Einstein-Weyl geometry
Eugene Ferapontov, Boris Kruglikov
For several classes of second order dispersionless PDEs, we show that the symbols of their formal linearizations define conformal structures which must be Einstein-Weyl in 3D (or s…
math-ph2012★ 7 cited
SDiff(2) and uniqueness of the Plebański equation
Boris Kruglikov, Oleg Morozov
The group of area preserving diffeomorphisms showed importance in the problems of self-dual gravity and integrability theory. We discuss how representations of this infinite-dimens…