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A finite Toda representation of the box-ball system with box capacity

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 نشر من قبل Kazuki Maeda
 تاريخ النشر 2011
  مجال البحث فيزياء
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 تأليف Kazuki Maeda




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A connection between the finite ultradiscrete Toda lattice and the box-ball system is extended to the case where each box has own capacity and a carrier has a capacity parameter depending on time. In order to consider this connection, new carrier rules size limit for solitons and recovery of balls, and a concept expansion map are introduced. A particular solution to the extended system of a special case is also presented.


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