Rational solutions to the KPI equation from particular polynomials
| Affiliation auteurs | Affiliation ok |
| Titre | Rational solutions to the KPI equation from particular polynomials |
| Type de publication | Journal Article |
| Year of Publication | 2022 |
| Auteurs | Gaillard P |
| Journal | WAVE MOTION |
| Volume | 108 |
| Pagination | 102828 |
| Date Published | JAN |
| Type of Article | Article |
| ISSN | 0165-2125 |
| Mots-clés | Determinants, Kadomtsev-Petviashvili, Polynomials |
| Résumé | We construct solutions to the Kadomtsev-Petviashvili equation (KPI) from particular polynomials. We obtain rational solutions written as a second spatial derivative of a logarithm of a determinant of order n. We obtain with this method an infinite hierarchy of rational solutions to the KPI equation. We give explicitly the expressions of these solutions for the first five orders. (C) 2021 Published by Elsevier B.V. |
| DOI | 10.1016/j.wavemoti.2021.102828 |