Toda-type cellular automaton and its N-soliton solution

J. Matsukidaira, J. Satsuma, Daisuke Takahashi, T. Tokihiro, M. Torii

Research output: Contribution to journalArticle

71 Citations (Scopus)

Abstract

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
Volume225
Issue number4-6
Publication statusPublished - 1997 Feb 3
Externally publishedYes

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cellular automata
solitary waves

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Toda-type cellular automaton and its N-soliton solution. / Matsukidaira, J.; Satsuma, J.; Takahashi, Daisuke; Tokihiro, T.; Torii, M.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 225, No. 4-6, 03.02.1997, p. 287-295.

Research output: Contribution to journalArticle

Matsukidaira, J, Satsuma, J, Takahashi, D, Tokihiro, T & Torii, M 1997, 'Toda-type cellular automaton and its N-soliton solution', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 225, no. 4-6, pp. 287-295.
Matsukidaira, J. ; Satsuma, J. ; Takahashi, Daisuke ; Tokihiro, T. ; Torii, M. / Toda-type cellular automaton and its N-soliton solution. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 1997 ; Vol. 225, No. 4-6. pp. 287-295.
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