Periodic multiwave solutions to the Toda-type cellular automaton

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2 Citations (Scopus)

Abstract

An ultradiscretization of the Riemann theta function is proposed. The ultradiscretization satisfies an addition formula, which is an ultradiscrete analogue of an addition formula for the Riemann theta function. Using the addition formula, periodic multiwave solutions to the Toda-type cellular automaton are obtained.

Original languageEnglish
Pages (from-to)L715-L723
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number43
DOIs
Publication statusPublished - 2005 Oct 28
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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