A convergent framework for the multicomponent KP-hierarchy
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- by G. F. Helminck and G. F. Post PDF
- Trans. Amer. Math. Soc. 324 (1991), 271-292 Request permission
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.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- 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