Hierarchy of Backlund transformation groups of the Painleve systems

• SUZUKI Masaki

  Graduate School of Science and Technology Kobe University

• TAHARA Nobuhiko

  Graduate School of Science and Technology Kobe University

• TAKANO Kyoichi

  Department of Mathematics Faculty of Science Kobe University

書誌事項

タイトル別名

• Hierarchy of Bäcklund transformation groups of the Painlevé systems

抄録

For each Painlevé system P_J except the first one, we have a Bäcklund transformation group which is a lift of an affine Weyl group. In this paper, we show that the Bäcklund transformation groups for J=V, IV, III, II are successively obtained from that for J=VI by the well known degeneration or confluence processes.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 56 (4), 1221-1232, 2004

  一般社団法人 日本数学会

キーワード

• Painlevé systems
• Hierarchy of Bäcklund transformation groups

詳細情報

• CRID: 1390282680091853952
• NII論文ID: 10013753577
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1190905457
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2092946
• NDL書誌ID: 7127467
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7127467
• 本文言語コード: en
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