Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy

P.H.M. Kersten, A.S. Sorin

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    Abstract

    The $N=2$ supersymmetric ${\alpha}=1$ KdV hierarchy in $N=2$ superspace is considered and its rich symmetry structure is uncovered. New nonpolynomial and nonlocal, bosonic and fermionic symmetries and Hamiltonians, bi-Hamiltonian structure as well as a recursion operator connecting all symmetries and Hamiltonian structures of the $N=2$ ${\alpha}=1$ KdV hierarchy are constructed in explicit form. It is observed that the algebra of symmetries of the $N=2$ supersymmetric ${\alpha}=1$ KdV hierarchy possesses two different subalgebras of $N=2$ supersymmetry.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 2002

    Publication series

    NameMemorandum
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1615
    ISSN (Print)0169-2690

    Keywords

    • MSC-35Q51
    • MSC-35Q53
    • IR-65802
    • EWI-3435
    • MSC-35Q58

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  • Cite this

    Kersten, P. H. M., & Sorin, A. S. (2002). Bi-Hamiltonian structure of the $N=2$ supersymmetric $\alpha = 1$ KdV hierarchy. (Memorandum; No. 1615). Enschede: University of Twente, Department of Applied Mathematics.