抄録
A τ function formalism for Sakai's elliptic Painlevé equation is presented. This establishes the equivalence between the two formulations by Sakai and by Ohta-Ramani-Grammaticos. We also give a simple geometric description of the elliptic Painlevé equation as a non-autonomous deformation of the addition formula on elliptic curves. By using these formulations, we construct a particular solution of die elliptic Painlevé equation expressed in terms of the elliptic hypergeometric function 10E9.
本文言語 | 英語 |
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ページ(範囲) | L263-L272 |
ジャーナル | Journal of Physics A: Mathematical and General |
巻 | 36 |
号 | 17 |
DOI | |
出版ステータス | 出版済み - 5 2 2003 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)