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

页码：153 / 176

页数：24

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