Third-order integrable difference equations generated by a pair of second-order equations

Junta Matsukidaira, Daisuke Takahashi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We show that the third-order difference equations proposed by Hirota, Kimura and Yahagi are generated by a pair of second-order difference equations. In some cases, the pair of the second-order equations are equivalent to the Quispel-Robert-Thomson (QRT) system, but in the other cases, they are irrelevant to the QRT system. We also discuss an ultradiscretization of the equations.

Original languageEnglish
Pages (from-to)1151-1161
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number5
DOIs
Publication statusPublished - 2006 Feb 3

ASJC Scopus subject areas

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

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