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JSIAM Letters
Vol. 2 (2010) P 95-98




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.

Copyright © 2010 The Japan Society for Industrial and Applied Mathematics

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