Ultradiscrete soliton solution of permanent type

Daisuke Takahashi, Ryogo Hirota

    Research output: Contribution to journalArticle

    22 Citations (Scopus)

    Abstract

    We propose a new type of multi-soliton solution to the box and ball system which is a completely discrete soliton system. The solution follows a form of ultradiscretized permanent which is defined by a signature-free determinant. Moreover, we show the solution is equivalent to a known type of solution and give a direct proof of solution.

    Original languageEnglish
    Article number104007
    JournalJournal of the Physical Society of Japan
    Volume76
    Issue number10
    DOIs
    Publication statusPublished - 2007 Oct

    Fingerprint

    solitary waves
    determinants
    boxes
    balls
    signatures

    Keywords

    • Bilinear equation
    • Box and ball system
    • Permanent
    • Soliton
    • Ultradiscrete

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Ultradiscrete soliton solution of permanent type. / Takahashi, Daisuke; Hirota, Ryogo.

    In: Journal of the Physical Society of Japan, Vol. 76, No. 10, 104007, 10.2007.

    Research output: Contribution to journalArticle

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