Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter

• Aoki Takashi

  Department of Mathematics, Kinki University

• Honda Naofumi

  Department of Mathematics, Hokkaido University

Abstract

The system of algebraic equations for the leading terms of formal solutions to the Noumi-Yamada systems with a large parameter is studied. A formula which gives the number of solutions outside of turning points is established. The number of turning points of the first kind is also given.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 63 (4), 1085-1119, 2011

  The Mathematical Society of Japan

Keywords

• Noumi-Yamada systems
• Painleve hierarchy
• formal solutions

Details

• CRID: 1390282680093284480
• NII Article ID: 10030344748
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/06341085
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 11284835
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11284835
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed