Conserved Quantities of "Random-Time Toda Equation".

  • Hirota Ryogo
    Department of Information and Computer Science, School of Science and Engineering, Waseda University, 3–4–1, Ohkubo, Shinjuku–ku, Tokyo 169

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  • Conserved Quantities of Random-Time Tod

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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.

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