A finite Toda representation of the box-ball system with box capacity
Mathematical Physics
2012-02-13 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1109.2266,
title = {A finite Toda representation of the box-ball system with box capacity},
author = {Kazuki Maeda},
journal= {arXiv preprint arXiv:1109.2266},
year = {2012}
}
Comments
20 pages, 9 figures