2007年1月
Families of Okamoto-Painleve pairs and Painleve equations
ANNALI DI MATEMATICA PURA ED APPLICATA
- 巻
- 186
- 号
- 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
- ID情報
-
- DOI : 10.1007/s10231-005-0172-6
- ISSN : 0373-3114
- Web of Science ID : WOS:000241265400005