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nlin.SIAug 16, 2006
13
citations (OpenAlex)
authors
  • Jun Mada
  • Makoto Idzumi
  • Tetsuji Tokihiro
institutions
  • Shimane University
  • The University of Tokyo
arXiv abstractPDF
paper

On the initial value problem of a periodic box-ball system

arXiv:nlin/0608037 · doi:10.1088/0305-4470/39/43/L01

Abstract

We show that the initial value problem of a periodic box-ball system can be solved in an elementary way using simple combinatorial methods.

9 pages, 2 figures

References in corpus (3)

  • Fundamental Cycle of a Periodic Box-Ball System
  • On a Periodic Soliton Cellular Automaton
  • Bethe ansatz and inverse scattering transform in a periodic box-ball system

Cited by in corpus (7)

  • Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
  • Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations
  • Combinatorial Bethe ansatz and generalized periodic box-ball system
  • Fermionic partition functions for a periodic soliton cellular automaton
  • Creation of ballot sequences in a periodic cellular automaton
  • Tropical Krichever construction for the non-periodic box and ball system
  • A crystal theoretic method for finding rigged configurations from paths
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