An ultradiscretization of the sine-Gordon equation

S. Isojima, M. Murata, A. Nobe, J. Satsuma

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

An ultradiscrete system corresponding to the sine-Gordon equation is proposed. A new dependent variable for the discrete sine-Gordon equation is introduced in order to apply the procedure of ultradiscretization. The ultradiscrete system possesses exact solutions which are directly related to soliton solutions of the discrete equation.

Original languageEnglish
Pages (from-to)378-386
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume331
Issue number6
DOIs
Publication statusPublished - 2004 Nov 1
Externally publishedYes

Keywords

  • Cellular automaton
  • Discrete
  • Integrable systems
  • Sine-Gordon equation
  • Soliton

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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