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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B91-06.pdf | 211.5 kB | Adobe PDF | 見る/開く |
| タイトル: | $E^{(1)}_6$型$q$パンルヴェ方程式のラックス形式 (可積分系数理の諸相) |
| その他のタイトル: | A 3×3 Lax form and $q$-Painleve equations of type $E^{(1)}_6$ (Various aspects of integrable systems) |
| 著者: | PARK, Kanam |
| 著者名の別形: | 朴, 佳南 |
| キーワード: | 14H70 34M56 39A13 Lax formalism q-Painlevé equation |
| 発行日: | Feb-2023 |
| 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: | B91 |
| 開始ページ: | 87 |
| 終了ページ: | 102 |
| 抄録: | In a previous work, the author introduced non-linear q-difference systems which include q-Garnier systems. These systems were given as a compatibility condition of linear q-difference equations whose coefficients were products of N × N matrices. In this paper, we consider a special case with N = 3 and derive a 3×3 matrix Lax form of the q-Painlevé equation of type $E^{(1)}_6$ and two kinds of characterizations of a 3rd-order scalar equation related to it. They seems to be new. |
| 著作権等: | © 2023 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
| URI: | http://hdl.handle.net/2433/281554 |
| 出現コレクション: | B91 Various aspects of integrable systems |
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