Toda-type cellular automaton and its N-soliton solution

J. Matsukidaira*, J. Satsuma, D. Takahashi, T. Tokihiro, M. Torii

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

76 Citations (Scopus)


We show that the cellular automaton proposed by two of the authors (D.T. and J.M.) is obtained from the discrete Toda lattice equation through a special limiting procedure. Also by applying a similar kind of limiting procedure to the N-soliton solution of the discrete Toda lattice equation, we obtain the N-soliton solution for this cellular automaton.

Original languageEnglish
Pages (from-to)287-295
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number4-6
Publication statusPublished - 1997 Feb 3
Externally publishedYes


  • Cellular automaton
  • Discrete
  • Nonlinear
  • Soliton
  • Toda lattice

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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