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 journalArticle

    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

    Fingerprint

    Semidiscretization
    planetary waves
    hierarchies
    solitary waves
    analogs
    Pfaffian
    Soliton Solution
    Solitons
    Analogue
    Hierarchy

    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

    Cite this

    An integrable semi-discretization of the coupled Yajima-Oikawa system. / Chen, Junchao; Chen, Yong; Feng, Bao Feng; Maruno, Kenichi; Ohta, Yasuhiro.

    In: Journal of Physics A: Mathematical and Theoretical, Vol. 49, No. 16, 165201, 08.03.2016.

    Research output: Contribution to journalArticle

    Chen, Junchao ; Chen, Yong ; Feng, Bao Feng ; Maruno, Kenichi ; Ohta, Yasuhiro. / An integrable semi-discretization of the coupled Yajima-Oikawa system. In: Journal of Physics A: Mathematical and Theoretical. 2016 ; Vol. 49, No. 16.
    @article{379c07f101804615b0bf7c4fa7a2da8f,
    title = "An integrable semi-discretization of the coupled Yajima-Oikawa system",
    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 B{\"a}cklund transformations of the semi-discrete BKP hierarchy, both the bright and dark soliton solutions in terms of pfaffians are constructed.",
    keywords = "BKP hierarchy reductions, bright and dark soliton, coupled Yajima-Oikawa system, integrable semi-discretization",
    author = "Junchao Chen and Yong Chen and Feng, {Bao Feng} and Kenichi Maruno and Yasuhiro Ohta",
    year = "2016",
    month = "3",
    day = "8",
    doi = "10.1088/1751-8113/49/16/165201",
    language = "English",
    volume = "49",
    journal = "Journal of Physics A: Mathematical and Theoretical",
    issn = "1751-8113",
    publisher = "IOP Publishing Ltd.",
    number = "16",

    }

    TY - JOUR

    T1 - An integrable semi-discretization of the coupled Yajima-Oikawa system

    AU - Chen, Junchao

    AU - Chen, Yong

    AU - Feng, Bao Feng

    AU - Maruno, Kenichi

    AU - Ohta, Yasuhiro

    PY - 2016/3/8

    Y1 - 2016/3/8

    N2 - 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.

    AB - 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.

    KW - BKP hierarchy reductions

    KW - bright and dark soliton

    KW - coupled Yajima-Oikawa system

    KW - integrable semi-discretization

    UR - http://www.scopus.com/inward/record.url?scp=84961627336&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84961627336&partnerID=8YFLogxK

    U2 - 10.1088/1751-8113/49/16/165201

    DO - 10.1088/1751-8113/49/16/165201

    M3 - Article

    AN - SCOPUS:84961627336

    VL - 49

    JO - Journal of Physics A: Mathematical and Theoretical

    JF - Journal of Physics A: Mathematical and Theoretical

    SN - 1751-8113

    IS - 16

    M1 - 165201

    ER -