Speaker
Andriy Panasyuk
(Faculty of Mathematical and Natural Sciences, Cardinal Stefan Wyszyński University)
Description
The aim of this talk is to construct a class of explicit nontrivial rational solutions of the dispersionless Hirota system of PDEs. All the solutions in this class are of homogeneity degree 1 and are quotients of homogeneous polynomials. It is well-known that the solutions of the Hirota dispersionless systems describe Veronese webs. By nontriviality of the solutions it is meant that the corresponding Veronese webs are nonflat at generic points.
