Integrable semi-discretizations of the reduced Ostrovsky equation

Bao Feng Feng, Kenichi Maruno, Yasuhiro Ohta

    研究成果: Article

    8 引用 (Scopus)

    抄録

    Based on our previous work on the reduced Ostrovsky equation (J. Phys. A: Math. Theor. 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits two alternative representations, one being its original form, the other the differentiated form (the short wave limit of the Degasperis-Procesi equation) two semi-discrete analogues of the reduced Ostrovsky equation are constructed possessing the same N-loop soliton solution. The relationship between these two versions of semi-discretizations is also clarified.

    元の言語English
    記事番号135203
    ジャーナルJournal of Physics A: Mathematical and Theoretical
    48
    発行部数13
    DOI
    出版物ステータスPublished - 2015 4 7

    Fingerprint

    Ostrovsky Equation
    Semidiscretization
    Solitons
    Degasperis-Procesi Equation
    Soliton Solution
    Analogue
    solitary waves
    Alternatives
    analogs
    Form

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics
    • Modelling and Simulation
    • Statistics and Probability

    これを引用

    Integrable semi-discretizations of the reduced Ostrovsky equation. / Feng, Bao Feng; Maruno, Kenichi; Ohta, Yasuhiro.

    :: Journal of Physics A: Mathematical and Theoretical, 巻 48, 番号 13, 135203, 07.04.2015.

    研究成果: Article

    @article{cfeb4e795dd24c5c93d4ccb6e0d9cf75,
    title = "Integrable semi-discretizations of the reduced Ostrovsky equation",
    abstract = "Based on our previous work on the reduced Ostrovsky equation (J. Phys. A: Math. Theor. 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits two alternative representations, one being its original form, the other the differentiated form (the short wave limit of the Degasperis-Procesi equation) two semi-discrete analogues of the reduced Ostrovsky equation are constructed possessing the same N-loop soliton solution. The relationship between these two versions of semi-discretizations is also clarified.",
    keywords = "3-reduction of the BKP/CKP hierarchy, integrable discretization, reduced Ostrovsky equation, short wave limit of the Degasperis-Procesi equation",
    author = "Feng, {Bao Feng} and Kenichi Maruno and Yasuhiro Ohta",
    year = "2015",
    month = "4",
    day = "7",
    doi = "10.1088/1751-8113/48/13/135203",
    language = "English",
    volume = "48",
    journal = "Journal of Physics A: Mathematical and Theoretical",
    issn = "1751-8113",
    publisher = "IOP Publishing Ltd.",
    number = "13",

    }

    TY - JOUR

    T1 - Integrable semi-discretizations of the reduced Ostrovsky equation

    AU - Feng, Bao Feng

    AU - Maruno, Kenichi

    AU - Ohta, Yasuhiro

    PY - 2015/4/7

    Y1 - 2015/4/7

    N2 - Based on our previous work on the reduced Ostrovsky equation (J. Phys. A: Math. Theor. 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits two alternative representations, one being its original form, the other the differentiated form (the short wave limit of the Degasperis-Procesi equation) two semi-discrete analogues of the reduced Ostrovsky equation are constructed possessing the same N-loop soliton solution. The relationship between these two versions of semi-discretizations is also clarified.

    AB - Based on our previous work on the reduced Ostrovsky equation (J. Phys. A: Math. Theor. 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits two alternative representations, one being its original form, the other the differentiated form (the short wave limit of the Degasperis-Procesi equation) two semi-discrete analogues of the reduced Ostrovsky equation are constructed possessing the same N-loop soliton solution. The relationship between these two versions of semi-discretizations is also clarified.

    KW - 3-reduction of the BKP/CKP hierarchy

    KW - integrable discretization

    KW - reduced Ostrovsky equation

    KW - short wave limit of the Degasperis-Procesi equation

    UR - http://www.scopus.com/inward/record.url?scp=84925437140&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84925437140&partnerID=8YFLogxK

    U2 - 10.1088/1751-8113/48/13/135203

    DO - 10.1088/1751-8113/48/13/135203

    M3 - Article

    AN - SCOPUS:84925437140

    VL - 48

    JO - Journal of Physics A: Mathematical and Theoretical

    JF - Journal of Physics A: Mathematical and Theoretical

    SN - 1751-8113

    IS - 13

    M1 - 135203

    ER -