Two dimensional periodic box-ball system and its fundamental cycle

Published 22 Feb 2011 in math-ph and math.MP | (1102.4392v3)

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.

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Authors (1)

Shinsuke Iwao

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