箱玉系と非自励離散戸田格子 (可積分系数理の深化と展開)

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タイトル別名
  • Box-ball system and the nonautonomous discrete Toda lattice (Mathematical structures of integrable systems, its deepening and expansion)

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We discuss the theory of finite orthogonal polynomials based on elementary linear algebra and its connection to the nonautonomous discrete Toda lattice with nonperiodic finite lattice boundary condition. By using the spectral transformation technique for finite orthogonal polynomials, one can give a solution to the initial value problem of the nonautonomous discrete Toda lattice. However, this construction of the solution cannot be ultradiscretized because of so-called “negative problem". In this paper, we focus on the rigged configuration technique to solve the initial value problem of the box-ball system and consider a connection between the rigged configuration and orthogonal polynomials.

Mathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. edited by Takao Suzuki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

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詳細情報 詳細情報について

  • CRID
    1050571470241993856
  • NII論文ID
    120007167309
  • NII書誌ID
    AA12196120
  • HANDLE
    2433/265829
  • ISSN
    18816193
  • 本文言語コード
    ja
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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