A convergent framework for the multicomponent KP-hierarchy

G.F. Helminck; Gerhard F. Post

doi:10.1090/S0002-9947-1991-0986025-5

A convergent framework for the multicomponent KP-hierarchy

G.F. Helminck, Gerhard F. Post

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

In this paper we describe how to construct convergent solutions of the multicomponent KP-hierarchy, starting from a certain open subset of the Grassmann manifold of a special kind of Banach space, and derive an expression of its solutions in terms of Fredholm determinants. Further we show that the simplest nonscalar reduction of the present hierarchy leads to the AKNS-hierarchy.

Original language	English
Pages (from-to)	271-292
Number of pages	22
Journal	Transactions of the American Mathematical Society
Volume	324
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1991-0986025-5
Publication status	Published - 1991

Keywords

METIS-140411
IR-74996

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10.1090/S0002-9947-1991-0986025-5

Helminck91convergentFinal published version, 1.96 MB

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abstract = "In this paper we describe how to construct convergent solutions of the multicomponent KP-hierarchy, starting from a certain open subset of the Grassmann manifold of a special kind of Banach space, and derive an expression of its solutions in terms of Fredholm determinants. Further we show that the simplest nonscalar reduction of the present hierarchy leads to the AKNS-hierarchy.",

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AB - In this paper we describe how to construct convergent solutions of the multicomponent KP-hierarchy, starting from a certain open subset of the Grassmann manifold of a special kind of Banach space, and derive an expression of its solutions in terms of Fredholm determinants. Further we show that the simplest nonscalar reduction of the present hierarchy leads to the AKNS-hierarchy.

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DO - 10.1090/S0002-9947-1991-0986025-5

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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A convergent framework for the multicomponent KP-hierarchy

Abstract

Keywords

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