2010年2月
Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
- 巻
- 23
- 号
- 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
- ID情報
-
- DOI : 10.1007/s11424-010-9279-y
- ISSN : 1009-6124
- J-Global ID : 201302297752273267
- Web of Science ID : WOS:000274950400013