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

被引：0
|
作者：
Satoshi TSUJIMOTO [1 ]
机构：
[1] Department of Applied Mathematics and Physics,Graduate School of Informatics,Kyoto University
来源：
Journal of Systems Science & Complexity | 2010年 / 23卷 / 01期
关键词：
Askey-Wilson polynomial; Darboux transformation; discrete KP hierarchy; nonautonomous discrete Lotka-Volterra equation; nonautonomous discrete Toda equation;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程];
学科分类号：
070104 ;
摘要：
It is shown that the nonautonomous discrete Toda equation and its Backlund transformationcan be derived from the reduction of the hierarchy of the discrete KP equation and the discrete two-dimensionalToda equation.Some explicit examples of the determinant solutions of the nonautonomousdiscrete Toda equation including the Askey-Wilson polynomial are presented.Finally we discuss therelationship between the nonautonomous discrete Toda system and the nonautonomous discrete Lotka-Volterraequation.
引用
收藏
页码：153 / 176
页数：24
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