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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B52-18.pdf | 1.45 MB | Adobe PDF | 見る/開く |
| タイトル: | On the fourth order PI equation and coalescing phenomena of nonlinear turning points : Dedicated to Professor Takashi AOKI for his sixtieth birthday (Exponential Analysis of Differential Equations and Related Topics) |
| 著者: | Takei, Yoshitsugu |
| 著者名の別形: | タケイ, ヨシツグ |
| キーワード: | 34M60 34M55 34E20 33E17 35Q53 37K10 fourth order PI equation nonlinear turning points Garnier system KdV equation |
| 発行日: | Nov-2014 |
| 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: | B52 |
| 開始ページ: | 301 |
| 終了ページ: | 316 |
| 抄録: | In this report we present a conjecture for the fourth order PI equation with a large parameter to show its importance in the exact WKB analysis. The conjecture is related to coalescing phenomena of turning points and can be regarded as a nonlinear analogue of Hirose s result ([9]) for the Pearcey system. We also discuss some relations between the conjecture and Dubrovin s result ([7]) for the KdV equation. |
| 記述: | "Exponential Analysis of Differential Equations and Related Topics". October 15～18, 2013. edited by Yoshitsugu Takei. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2014 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/232925 |
| 出現コレクション: | B52 Exponential Analysis of Differential Equations and Related Topics |
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