UC hierarchy and monodromy preserving deformation

機関リポジトリ (HANDLE) オープンアクセス

説明

The UC hierarchy is an extension of the KP hierarchy, which possesses not only an infinite set of positive time evolutions but also that of negative ones. Through a similarity reduction we derive from the UC hierarchy a class of the Schlesinger systems including the Garnier system and the sixth Painleve equation, which describes the monodromy preserving deformations of Fuchsian linear differential equations with certain spectral types. We also present a unified formulation of the above Schlesinger systems as a canonical Hamiltonian system whose Hamiltonian functions are polynomials in the canonical variables.

収録刊行物

  • MI Preprint Series

    MI Preprint Series 2010-7 2010-01-28

    Faculty of Mathematics, Kyushu University

詳細情報 詳細情報について

  • CRID
    1050580007682319232
  • HANDLE
    2324/16324
  • 本文言語コード
    en
  • 資料種別
    journal article
  • データソース種別
    • IRDB

問題の指摘

ページトップへ