Conserved Quantities of “Random-Time Toda Equation”

抄録

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.