論文

査読有り
2007年1月

Families of Okamoto-Painleve pairs and Painleve equations

ANNALI DI MATEMATICA PURA ED APPLICATA
  • Hitomi Terajima

186
1
開始ページ
99
終了ページ
146
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s10231-005-0172-6
出版者・発行元
SPRINGER HEIDELBERG

In [as reported by Saito et al. (J. Algebraic Geom. 11:311-362, 2002)], generalized Okamoto-Painleve pairs are introduced as a generalization of Okamoto's space of initial conditions of Painleve equations (cf. [Okamoto (Jpn. J. Math. 5:1-79, 1979)]) and we established a way to derive differential equations from generalized rational Okamoto-Painleve pairs through deformation theory of nonsingular pairs. In this article, we apply the method to concrete families of generalized rational Okamoto-Painleve pairs with given affine coordinate systems and for all eight types of such Okamoto-Painlve pairs we write down Painleve equations in the coordinate systems explicitly. Moreover, except for a few cases, Hamitonians associated to these Painleve equations are also given in all coordinate charts.

リンク情報
DOI
https://doi.org/10.1007/s10231-005-0172-6
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000241265400005&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/s10231-005-0172-6
  • ISSN : 0373-3114
  • Web of Science ID : WOS:000241265400005

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