Two dimensional periodic box-ball system and its fundamental cycle

Details Two dimensional periodic box-ball system and its fundamental cycle Two dimensional periodic box-ball system and its fundamental cycle

2011-02-22

arxiv.org/abs/1102.4392v3

Physics

Mathematical Physics

16 pages, 5 figures

Scientific paper

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.

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