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

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

2011-09-10

arxiv.org/abs/1109.2266v1

J. Phys. A: Math. Theor. 45 (2012) 085204

Physics

Mathematical Physics

20 pages, 9 figures

Scientific paper

10.1088/1751-8113/45/8/085204

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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