A method of constructing generalized soliton solutions for certain bilinear soliton equations

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    A method is presented for constructing generalized soliton solutions of multiple solitons in a background of ripples for certain bilinear differential(-difference) equations, which are transformed forms of nonlinear wave equations. It is shown that if the bilinear soliton equations have N-soliton solutions they also have generalized soliton solutions.

    Original languageEnglish
    Pages (from-to)1341-1346
    Number of pages6
    JournalJournal of the Physical Society of Japan
    Volume47
    Issue number4
    Publication statusPublished - 1979 Oct

    Fingerprint

    solitary waves
    difference equations
    ripples
    wave equations

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    A method of constructing generalized soliton solutions for certain bilinear soliton equations. / Oishi, Shinichi.

    In: Journal of the Physical Society of Japan, Vol. 47, No. 4, 10.1979, p. 1341-1346.

    Research output: Contribution to journalArticle

    @article{a70774a2407b442ebe9c05fa83365f2c,
    title = "A method of constructing generalized soliton solutions for certain bilinear soliton equations",
    abstract = "A method is presented for constructing generalized soliton solutions of multiple solitons in a background of ripples for certain bilinear differential(-difference) equations, which are transformed forms of nonlinear wave equations. It is shown that if the bilinear soliton equations have N-soliton solutions they also have generalized soliton solutions.",
    author = "Shinichi Oishi",
    year = "1979",
    month = "10",
    language = "English",
    volume = "47",
    pages = "1341--1346",
    journal = "Journal of the Physical Society of Japan",
    issn = "0031-9015",
    publisher = "Physical Society of Japan",
    number = "4",

    }

    TY - JOUR

    T1 - A method of constructing generalized soliton solutions for certain bilinear soliton equations

    AU - Oishi, Shinichi

    PY - 1979/10

    Y1 - 1979/10

    N2 - A method is presented for constructing generalized soliton solutions of multiple solitons in a background of ripples for certain bilinear differential(-difference) equations, which are transformed forms of nonlinear wave equations. It is shown that if the bilinear soliton equations have N-soliton solutions they also have generalized soliton solutions.

    AB - A method is presented for constructing generalized soliton solutions of multiple solitons in a background of ripples for certain bilinear differential(-difference) equations, which are transformed forms of nonlinear wave equations. It is shown that if the bilinear soliton equations have N-soliton solutions they also have generalized soliton solutions.

    UR - http://www.scopus.com/inward/record.url?scp=77953070962&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=77953070962&partnerID=8YFLogxK

    M3 - Article

    AN - SCOPUS:77953070962

    VL - 47

    SP - 1341

    EP - 1346

    JO - Journal of the Physical Society of Japan

    JF - Journal of the Physical Society of Japan

    SN - 0031-9015

    IS - 4

    ER -