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2008 Fiscal Year Self-evaluation Report

Research of the algebraic structure of the Toda type non-autonomous discrete integrable systems and its engineering application

Research Project

  • PDF
Project/Area Number 18540214
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionKyoto University

Principal Investigator

TSUJIMOTO Satoshi  Kyoto University, 大学院・情報学研究科, 准教授 (60287977)

Project Period (FY) 2006 – 2009
Keywordsアルゴリズム / 応用数学 / 数理工学 / 可積分系
Research Abstract

直交多項式の理論と廣田のタウ関数の理論を用いることで, 戸田方程式および関連する離散可積分系に関する解析をすすめる.特に「非自励離散可積分系」に着目し, その特殊解を中心とした理論の構築とその工学への応用を図る.

  • Research Products

    (5 results)

All 2009 2008 2007 2006 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (2 results)

  • [Journal Article] Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy2009

    • Author(s)
      S. Tsujimoto and A. Zhedanov
    • Journal Title

      Journal of Systems Science and Complexity Vol.5, 033

      Pages: 30

    • Peer Reviewed
  • [Journal Article] Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials2007

    • Author(s)
      V. P. Spiridonov, S. Tsujimoto and A. Zhedanov
    • Journal Title

      Communications in Mathematical Physics Vol.272

      Pages: 139-165

    • Peer Reviewed
  • [Journal Article] Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy

    • Author(s)
      S. Tsujimoto
    • Journal Title

      Journal of Systems Science and Complexity (To appear)

    • Peer Reviewed
  • [Presentation] On the discrete coupled KP equation2008

    • Author(s)
      S. Tsujimoto
    • Organizer
      7-th AIMS International Conference
    • Place of Presentation
      USA
    • Year and Date
      20080500
  • [Presentation] On Hankel determinant formulas of the nonautonomous discrete Toda and Lotka-Volterra equations2006

    • Author(s)
      S. Tsujimoto and Y. Matsui
    • Organizer
      SIAM Conference on Nonlinear Waves and Coherent Structures
    • Place of Presentation
      USA
    • Year and Date
      20060900

URL: 

Published: 2010-06-11   Modified: 2016-04-21  

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