Ultradiscretization of the theta function solution of pd Toda

Shinsuke Iwao, Tetsuji Tokihiro

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


A periodic box-ball system (pBBS) is obtained by ultradiscretizing the periodic discrete Toda equation (pd Toda equation). We show the relation between a Young diagram of the pBBS and a spectral curve of the pd Toda equation. The formula for the fundamental cycle of the pBBS is obtained as a corollary.

Original languageEnglish
Pages (from-to)12987-13021
Number of pages35
JournalJournal of Physics A: Mathematical and Theoretical
Issue number43
Publication statusPublished - 2007 Oct 26
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


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