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Two dimensional periodic box-ball system and its fundamental cycle

By Shinsuke Iwao

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.Comment: 16 pages, 5 figure

Topics: Mathematical Physics, 37K15, 37K20
Year: 2012
DOI identifier: 10.1088/1751-8113/45/39/395204
OAI identifier: oai:arXiv.org:1102.4392
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