The two-dimensional periodic box-ball system and its fundamental cycle

Shinsuke Iwao

doi:10.1088/1751-8113/45/39/395204

The two-dimensional periodic box-ball system and its fundamental cycle

Research output: Contribution to journal › Article › peer-review

Abstract

We study a two-dimensional box-ball system which is an ultradiscrete analogue of the discrete KP equation. We construct an algorithm to calculate the fundamental cycle, which is an important conserved quantity of the two-dimensional box-ball system with periodic boundary condition, by using the tropical curve theory.

Original language	English
Article number	395204
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	39
DOIs	https://doi.org/10.1088/1751-8113/45/39/395204
Publication status	Published - 2012 Oct 5
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8113/45/39/395204

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The two-dimensional periodic box-ball system and its fundamental cycle

Abstract

ASJC Scopus subject areas

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