摘要
Gelfand-Dickey系列是十分重要的可积系统.本文用规范变换来讨论q-Deformed Gelfand-Dickey系列的解,得到了由两种基本规范变换迭代(n+k)次产生的规范变换算子Tn+k的行列式表达,并由此给出规范变换后的T函数Tq(n+k)的形式.
It is well known that the Gelfand-Dickey hierarchy is one of the most important in-tegrable systems. This paper applies the gauge transformation to solve the q-Deformed Gelfand-Dickey hierarchy, and present the determinant representation of the iterated gauge transformation Tn+k. And also gives the T-function τq(n+k) of this intergrable hierarchy by means of the τn+k.
出处
《数学年刊（A辑）》
CSCD
北大核心
2004年第3期373-382,共10页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.9725104
No.10101025
No.10301030)
973项目-"非线性科学"资助的项目
