标题： 有理插值函数和色散less Hirota系统的解 显示英文标题

标题： Rational interpolants and solutions of dispersionless Hirota system

摘要： 本文的目的是构造一类显式的非平凡有理解，这些解满足色散less Hirota偏微分方程组。 这类中的所有解都是齐次度为1的解，并且是齐次多项式的商。 众所周知，Hirota无色散系统的解描述了Veronese网。 所谓非平凡性是指对应的Veronese网在一般点处是非平坦的。 显示英文摘要

摘要： 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.