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arXiv · 1109.2266

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

Kazuki Maeda
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Abstract

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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Kazuki Maeda. 2011-09-10. A finite Toda representation of the box-ball system with box capacity. https://doi.org/10.1088/1751-8113%2F45%2F8%2F085204

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