Hierarchy of Bäcklund transformation groups of the Painlevé 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

Bibliographic Information

Other Title

• Hierarchy of Backlund transformation groups of the Painleve systems

Abstract

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.

Journal

• Journal of the Mathematical Society of Japan

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

  The Mathematical Society of Japan

Keywords

• Painlevé systems
• Hierarchy of Bäcklund transformation groups

Details

• CRID: 1390282680091853952
• NII Article ID: 10013753577
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/1190905457
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2092946
• NDL BIB ID: 7127467
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7127467
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed