抜粋
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.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | L263-L272 |
| ジャーナル | Journal of Physics A: Mathematical and General |
| 巻 | 36 |
| 発行部数 | 17 |
| DOI | |
| 出版物ステータス | 出版済み - 5 2 2003 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
フィンガープリント 10E9 solution to the elliptic Painlevé equation' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Kajiwara, K., Masuda, T., Noumi, M., Ohta, Y., & Yamada, Y. (2003). 10E9 solution to the elliptic Painlevé equation. Journal of Physics A: Mathematical and General, 36(17), L263-L272. https://doi.org/10.1088/0305-4470/36/17/102