$E^{(1)}_6$型$q$パンルヴェ方程式のラックス形式 (可積分系数理の諸相)

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書誌事項

タイトル別名
  • A 3×3 Lax form and $q$-Painleve equations of type $E^{(1)}_6$ (Various aspects of integrable systems)

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抄録

In a previous work, the author introduced non-linear q-difference systems which include q-Garnier systems. These systems were given as a compatibility condition of linear q-difference equations whose coefficients were products of N × N matrices. In this paper, we consider a special case with N = 3 and derive a 3×3 matrix Lax form of the q-Painlevé equation of type $E^{(1)}_6$ and two kinds of characterizations of a 3rd-order scalar equation related to it. They seems to be new.

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詳細情報 詳細情報について

  • CRID
    1050295724153708288
  • NII書誌ID
    AA12196120
  • HANDLE
    2433/281554
  • 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

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