Conserved Quantities of “Random-Time Toda Equation”
Conserved Quantities of “Random-Time Toda Equation”
复制标题
“随机时间户田方程”的守恒量
DOI：
10.1143/jpsj.66.283
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发表时间：
1997
影响因子：
1.7
通讯作者：
R. Hirota
中科院分区：
文献类型：
--
作者：
R. Hirota
用随机变量代替离散时间Toda方程的时间间隔，得到“随机时间Toda方程”。尽管随机时间Toda方程中引入了随机性，但该方程仍具有高阶守恒量。通过Miura变换得到了一类与随机时间Toda方程相关的“随机时间孤子方程”的高阶守恒量。
A “random-time Toda equation” is obtained by replacing the time interval of the discrete-time Toda equation by random variables. The random-time Toda equation has higher-order conserved quantities in spite of the randomness introduced into the equation. Also obtained are the higher-order conserved quantities of a class of “random-time soliton equations” which are related to the random-time Toda equation via Miura transformations.