An analytic description of the vector constrained KP hierarchy

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

    Research output: Contribution to journalArticleAcademicpeer-review

    19 Citations (Scopus)

    Abstract

    In this paper we give a geometric description in terms of the Grassmann manifold of Segal and Wilson, of the reduction of the KP hierarchy known as the vector $k$-constrained KP hierarchy. We also show in a geometric way that these hierarchies are equivalent to Krichever's general rational reductions of the KP hierarchy.
    Original languageUndefined
    Pages (from-to)627-641
    Number of pages15
    JournalCommunications in mathematical physics
    Volume193
    Issue number3
    DOIs
    Publication statusPublished - 1998

    Keywords

    • METIS-140580
    • IR-97339

    Cite this

    Helminck, G.F. ; van de Leur, J.W. ; van de Leur, J.W. / An analytic description of the vector constrained KP hierarchy. In: Communications in mathematical physics. 1998 ; Vol. 193, No. 3. pp. 627-641.
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    author = "G.F. Helminck and {van de Leur}, J.W. and {van de Leur}, J.W.",
    year = "1998",
    doi = "10.1007/s002200050341",
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    volume = "193",
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    journal = "Communications in mathematical physics",
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    An analytic description of the vector constrained KP hierarchy. / Helminck, G.F.; van de Leur, J.W.; van de Leur, J.W.

    In: Communications in mathematical physics, Vol. 193, No. 3, 1998, p. 627-641.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - An analytic description of the vector constrained KP hierarchy

    AU - Helminck, G.F.

    AU - van de Leur, J.W.

    AU - van de Leur, J.W.

    PY - 1998

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    AB - In this paper we give a geometric description in terms of the Grassmann manifold of Segal and Wilson, of the reduction of the KP hierarchy known as the vector $k$-constrained KP hierarchy. We also show in a geometric way that these hierarchies are equivalent to Krichever's general rational reductions of the KP hierarchy.

    KW - METIS-140580

    KW - IR-97339

    U2 - 10.1007/s002200050341

    DO - 10.1007/s002200050341

    M3 - Article

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    JO - Communications in mathematical physics

    JF - Communications in mathematical physics

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    ER -