Article ID Journal Published Year Pages File Type
8255609 Journal of Geometry and Physics 2018 9 Pages PDF
Abstract
The class of hyper-CR Einstein-Weyl structures on R3 can be described in terms of the solutions to the dispersionless Hirota equation. In the present paper we show that simple geometric constructions on the associated twistor space lead to deformations of the Hirota equation that have been introduced recently by B. Kruglikov and A. Panasyuk. Our method produces also the hyper-CR equation and can be applied to other geometric structures related to different twistor constructions.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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