Two dimensional periodic box-ball system and its fundamental cycle
Mathematical Physics
2015-05-27 v3 math.MP
Abstract
We study a 2-dimensional Box-Ball system which is a ultradiscrete analog of the discrete KP equation. We construct an algorithm to calculate the fundamental cycle, which is an important conserved quantity of the 2-dim. Box-Ball system with periodic boundary condition, by using the tropical curve theory.
Cite
@article{arxiv.1102.4392,
title = {Two dimensional periodic box-ball system and its fundamental cycle},
author = {Shinsuke Iwao},
journal= {arXiv preprint arXiv:1102.4392},
year = {2015}
}
Comments
16 pages, 5 figures