An analytic description of the vector constrained KP hierarchy

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

doi:10.1007/s002200050341

An analytic description of the vector constrained KP hierarchy

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

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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 language	Undefined
Pages (from-to)	627-641
Number of pages	15
Journal	Communications in mathematical physics
Volume	193
Issue number	3
DOIs	https://doi.org/10.1007/s002200050341
Publication status	Published - 1998

Keywords

METIS-140580
IR-97339

Access to Document

10.1007/s002200050341

Cite this

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title = "An analytic description of the vector constrained KP hierarchy",

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.",

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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.

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KW - IR-97339

U2 - 10.1007/s002200050341

DO - 10.1007/s002200050341

M3 - Article

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VL - 193

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JF - Communications in mathematical physics

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