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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2504.06480 |
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| _version_ | 1866909572129619968 |
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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 |