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

    Fingerprint

    Integrable Equation
    difference equations
    Difference equations
    Second Order Equations
    Difference equation
    Second-order Difference Equations

    ASJC Scopus subject areas

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

    Cite this

    Third-order integrable difference equations generated by a pair of second-order equations. / Matsukidaira, Junta; Takahashi, Daisuke.

    In: Journal of Physics A: Mathematical and General, Vol. 39, No. 5, 03.02.2006, p. 1151-1161.

    Research output: Contribution to journalArticle

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