An extensive study of the $N = 1$ supersymmetric KDV equation

P.H.M. Kersten, I. Krasil'shchik, A.V. Verbovetsky

    Research output: Book/ReportReportOther research output

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    Abstract

    Using recently developed methods, we accomplish an extensive study of the N = 1 supersymmetric Korteweg- de Vries equation. Our results include: five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws and a description of local and nonlocal Hamiltonian and symplectic structures, generalizing results obtained previously.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 2002

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1656
    ISSN (Print)0169-2690

    Keywords

    • MSC-35Q53
    • IR-65842
    • EWI-3476
    • MSC-37K10

    Cite this

    Kersten, P. H. M., Krasil'shchik, I., & Verbovetsky, A. V. (2002). An extensive study of the $N = 1$ supersymmetric KDV equation. Enschede: University of Twente, Department of Applied Mathematics.
    Kersten, P.H.M. ; Krasil'shchik, I. ; Verbovetsky, A.V. / An extensive study of the $N = 1$ supersymmetric KDV equation. Enschede : University of Twente, Department of Applied Mathematics, 2002.
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    abstract = "Using recently developed methods, we accomplish an extensive study of the N = 1 supersymmetric Korteweg- de Vries equation. Our results include: five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws and a description of local and nonlocal Hamiltonian and symplectic structures, generalizing results obtained previously.",
    keywords = "MSC-35Q53, IR-65842, EWI-3476, MSC-37K10",
    author = "P.H.M. Kersten and I. Krasil'shchik and A.V. Verbovetsky",
    note = "Imported from MEMORANDA",
    year = "2002",
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    publisher = "University of Twente, Department of Applied Mathematics",
    number = "1656",

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    Kersten, PHM, Krasil'shchik, I & Verbovetsky, AV 2002, An extensive study of the $N = 1$ supersymmetric KDV equation. University of Twente, Department of Applied Mathematics, Enschede.

    An extensive study of the $N = 1$ supersymmetric KDV equation. / Kersten, P.H.M.; Krasil'shchik, I.; Verbovetsky, A.V.

    Enschede : University of Twente, Department of Applied Mathematics, 2002.

    Research output: Book/ReportReportOther research output

    TY - BOOK

    T1 - An extensive study of the $N = 1$ supersymmetric KDV equation

    AU - Kersten, P.H.M.

    AU - Krasil'shchik, I.

    AU - Verbovetsky, A.V.

    N1 - Imported from MEMORANDA

    PY - 2002

    Y1 - 2002

    N2 - Using recently developed methods, we accomplish an extensive study of the N = 1 supersymmetric Korteweg- de Vries equation. Our results include: five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws and a description of local and nonlocal Hamiltonian and symplectic structures, generalizing results obtained previously.

    AB - Using recently developed methods, we accomplish an extensive study of the N = 1 supersymmetric Korteweg- de Vries equation. Our results include: five hierarchies of symmetries (including a new one), the corresponding hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws and a description of local and nonlocal Hamiltonian and symplectic structures, generalizing results obtained previously.

    KW - MSC-35Q53

    KW - IR-65842

    KW - EWI-3476

    KW - MSC-37K10

    M3 - Report

    BT - An extensive study of the $N = 1$ supersymmetric KDV equation

    PB - University of Twente, Department of Applied Mathematics

    CY - Enschede

    ER -

    Kersten PHM, Krasil'shchik I, Verbovetsky AV. An extensive study of the $N = 1$ supersymmetric KDV equation. Enschede: University of Twente, Department of Applied Mathematics, 2002.