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

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

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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 languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente
    Publication statusPublished - 2002

    Publication series

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

    Keywords

    • MSC-35Q53
    • MSC-37K10

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