Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice

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概要

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• Ultradiscrete analogues of the nonautonomous discrete finite Toda lattice and its modified system are explicitly given. It is shown that these two systems can be seen as the box-ball system with size limits and one with speed limits, respectively. Particular solutions and the Lax forms of these ultradiscrete systems on the finite lattice are also discussed.

著者

• Tsujimoto Satoshi

  Graduate School of Informatics, Kyoto University

• Maeda Kazuki

  Graduate School of Informatics, Kyoto University

関連論文

• Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice

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