Mathematical Physics
[Submitted on 8 Apr 2025
]
Title: Rational interpolants and solutions of dispersionless Hirota system
Title: 有理插值函数和色散less Hirota系统的解
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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