Panasyuk A. Veronese webs and nonlinear PDEs, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract): Difference between revisions
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A joint work with Boris Kruglikov. | A joint work with Boris Kruglikov. | ||
| slides = | | slides = [[Media:Panasyuk A. Veronese webs and nonlinear PDEs (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf|Panasyuk A. Veronese webs and nonlinear PDEs (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf]] | ||
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Latest revision as of 16:51, 23 November 2015
Speaker: Andriy Panasyuk
Title: Veronese webs and nonlinear PDEs
Abstract:
It is known that a geometric structure of a Veronese web is described by the Hirota dispersionless nonlinear equation. Seen as Lorentzian hyper-CR EinsteinпWeyl space the same structure is given by the so-called hyper-CR equation. In this talk we propose a simple geometric procedure of generating different nonlinear PDEs describing Veronese webs and interpolating between two equations mentioned. Bäcklund transformations between different types will be also discussed.
A joint work with Boris Kruglikov.