Darboux transformations for the KP hierarchy in the Segal-Wilson setting

G.F. Helminck, J.W. van de Leur, J.W. van de Leur

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    Abstract

    In this paper it is shown that inclusions inside the Segal-Wilson Grassmannian give rise to Darboux transformations between the solutions of the $KP$-hierarchy corresponding to these planes. We present a closed form of the operators that procure the transformation and express them in the related geometric data. Further the associated transformation on the level of $\tau$-functions is given.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages30
    Publication statusPublished - 2000

    Publication series

    NameMemorandum Faculteit TW
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.1535
    ISSN (Print)0169-2690

    Keywords

    • EWI-3355
    • MSC-22E70
    • MSC-35Q53
    • IR-65722
    • METIS-141315
    • MSC-22E65
    • MSC-35Q58
    • MSC-58B25

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