Integrable semi-discretizations of the reduced Ostrovsky equation

Bao Feng Feng, Kenichi Maruno, Yasuhiro Ohta

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    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.

    Original languageEnglish
    Article number135203
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume48
    Issue number13
    DOIs
    Publication statusPublished - 2015 Apr 7

    Fingerprint

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

    Keywords

    • 3-reduction of the BKP/CKP hierarchy
    • integrable discretization
    • reduced Ostrovsky equation
    • short wave limit of the Degasperis-Procesi equation

    ASJC Scopus subject areas

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

    Cite this

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

    In: Journal of Physics A: Mathematical and Theoretical, Vol. 48, No. 13, 135203, 07.04.2015.

    Research output: Contribution to journalArticle

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