DETERMINANT SOLUTIONS OF THE NONAUTONOMOUS DISCRETE TODA EQUATION ASSOCIATED WITH THE DEAUTONOMIZED DISCRETE KP HIERARCHY

作     者：Satoshi TSUJIMOTO Satoshi TSUJIMOTO Department of Applied Mathematics and Physics,Graduate School of Informatics,Kyoto University,Kyoto 606-8501,Japan

作者机构：Department of Applied Mathematics and PhysicsGraduate School of InformaticsKyoto University 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2010年第23卷第1期

页      面：153-176页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported in part by Grant-in-Aid for Scientific Research No. 18540214 from the Ministry of Education  Culture  Sports  Science  and Technology  Japan 

主　　题：Askey-Wilson polynomial Darboux transformation discrete KP hierarchy nonautonomous discrete Lotka-Volterra equation nonautonomous discrete Toda equation. 

摘      要：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.