このアイテムのアクセス数: 178
このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B78-02.pdf | 164.9 kB | Adobe PDF | 見る/開く |
| タイトル: | The Painlevé divisors of the autonomous 4-dimensional Painlevé-type equations (Mathematical structures of integrable systems and their applications) |
| 著者: | Nakamura, Akane |
| 著者名の別形: | 中村, あかね |
| キーワード: | 33E17 14H70 integrable system Painleve equations Kowalewski-Painleve analysis |
| 発行日: | Apr-2020 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B78 |
| 開始ページ: | 29 |
| 終了ページ: | 51 |
| 抄録: | Following [1], we consider compactification of the Liouville tori for the autonomous 4-dimensional Painlevé-type equations by adjoining the Painlevé divisors. We can see that thegenus 2 components of the Painlevé divisors are all isomorphic to the corresponding spectralcurve. We illustrate the motivating examples for [21], which asserts that the genus 2 curvesare uniquely determined by the Liouville tori of the autonomous 4-dimensional Painlevé-typeequations. This may enable us to recover a linear problem from the nonlinear integrablesystems. |
| 記述: | "Mathematical structures of integrable systems and their applications". September 5-7, 2018. edited by Shinsuke Iwao. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/260629 |
| 出現コレクション: | B78 Mathematical structures of integrable systems and their applications |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。