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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number395204
JournalJournal of Physics A: Mathematical and Theoretical
Issue number39
Publication statusPublished - 2012 Oct 5
Externally publishedYes

ASJC Scopus subject areas

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


Dive into the research topics of 'The two-dimensional periodic box-ball system and its fundamental cycle'. Together they form a unique fingerprint.

Cite this