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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

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