An integrable semi-discretization of the coupled Yajima-Oikawa system

Junchao Chen, Yong Chen, Bao Feng Feng, Kenichi Maruno, Yasuhiro Ohta

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    Abstract

    An integrable semi-discrete analogue of the one-dimensional coupled Yajima-Oikawa system, which is comprised of multicomponent short waves and one component long wave, is proposed by using a bilinear technique. Based on the reductions of the Bäcklund transformations of the semi-discrete BKP hierarchy, both the bright and dark soliton solutions in terms of pfaffians are constructed.

    Original languageEnglish
    Article number165201
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume49
    Issue number16
    DOIs
    Publication statusPublished - 2016 Mar 8

    Keywords

    • BKP hierarchy reductions
    • bright and dark soliton
    • coupled Yajima-Oikawa system
    • integrable semi-discretization

    ASJC Scopus subject areas

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

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