Integrable semi-discretizations of the reduced Ostrovsky equation

Bao Feng Feng, Kenichi Maruno, Yasuhiro Ohta

    Research output: Contribution to journalArticle

    9 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

    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

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