From recursion operators to Hamiltonian structures. The factorization method

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

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    Abstract

    We describe a simple algorithmic method of constructing Hamiltonian structures for nonlinear PDE. Our approach is based on the geometrical theory of nonlinear differential equations and is in a sense inverse to the well-known Magri scheme. As an illustrative example, we take the KdV equation and the Boussinesq equation. Further applications, including construction of previously unknown Hamiltonian structures, are in preparation.
    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.1624
    ISSN (Print)0169-2690

    Keywords

    • IR-65811
    • EWI-3444
    • MSC-58C50
    • MSC-58F05
    • MSC-58F07
    • MSC-35Q53

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