Rational interpolants and solutions of dispersionless Hirota system

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Main Author:	Panasyuk, Andriy
Format:	Preprint
Published:	2025
Subjects:	Mathematical Physics 35A30, 35G50, 53A60
Online Access:	Acceder al recurso
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author	Panasyuk, Andriy
author_facet	Panasyuk, Andriy
contents	The aim of this paper 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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2504_06480
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Rational interpolants and solutions of dispersionless Hirota system Panasyuk, Andriy Mathematical Physics 35A30, 35G50, 53A60 The aim of this paper 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.
title	Rational interpolants and solutions of dispersionless Hirota system
topic	Mathematical Physics 35A30, 35G50, 53A60
url	https://arxiv.org/abs/2504.06480

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