Bi-Hamiltonian structure of the N=2 supersymmetric α=1 KdV hierarchy

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

    Research output: Contribution to journalArticleAcademicpeer-review

    10 Citations (Scopus)


    The N=2 supersymmetric α=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 α=1 KdV hierarchy are constructed in explicit form. It is observed that the algebra of symmetries of the N=2 supersymmetric α=1 KdV hierarchy possesses two different subalgebras of N=2 supersymmetry.
    Original languageEnglish
    Pages (from-to)397-406
    Number of pages10
    JournalPhysics letters A
    Issue number4-5
    Publication statusPublished - 2002


    • Supersymmetry
    • Recursion operator
    • Discrete symmetries
    • Completely integrable systems
    • Bi-Hamiltonian structure


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