論文

査読有り
2010年2月

Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
  • Satoshi Tsujimoto

23
1
開始ページ
153
終了ページ
176
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s11424-010-9279-y
出版者・発行元
SPRINGER

It is shown that the nonautonomous discrete Toda equation and its Backlund transformation can be derived from the reduction of the hierarchy of the discrete KP equation and the discrete two-dimensional Toda equation. Some explicit examples of the determinant solutions of the nonautonomous discrete Toda equation including the Askey-Wilson polynomial are presented. Finally we discuss the relationship between the nonautonomous discrete Toda system and the nonautonomous discrete Lotka-Volterra equation.

リンク情報
DOI
https://doi.org/10.1007/s11424-010-9279-y
J-GLOBAL
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201302297752273267
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000274950400013&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/s11424-010-9279-y
  • ISSN : 1009-6124
  • J-Global ID : 201302297752273267
  • Web of Science ID : WOS:000274950400013

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