A convergent framework for the multicomponent KP-hierarchy

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Helminck, G.F. and Post, G.F. (1991) A convergent framework for the multicomponent KP-hierarchy. Transactions of the American Mathematical Society, 324 (1). pp. 271-292. ISSN 0002-9947

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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.
Item Type:Article
Copyright:© 1991 American Mathematical Society
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/74996
Official URL:http://dx.doi.org/10.1090/S0002-9947-1991-0986025-5
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