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arXiv · 2504.06480

Rational interpolants and solutions of dispersionless Hirota system

Andriy Panasyuk
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Abstract

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.

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Andriy Panasyuk. 2025-04-08. Rational interpolants and solutions of dispersionless Hirota system. https://arxiv.org/abs/2504.06480

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