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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A convergent framework for the multicomponent KP-hierarchy


Authors: G. F. Helminck and G. F. Post
Journal: Trans. Amer. Math. Soc. 324 (1991), 271-292
MSC: Primary 58F07; Secondary 35Q53, 58F19
DOI: https://doi.org/10.1090/S0002-9947-1991-0986025-5
MathSciNet review: 986025
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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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DOI: https://doi.org/10.1090/S0002-9947-1991-0986025-5
Article copyright: © Copyright 1991 American Mathematical Society