A convergent framework for the multicomponent KP-hierarchy

G.F. Helminck, Gerhard F. Post

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
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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 languageEnglish
Pages (from-to)271-292
Number of pages22
JournalTransactions of the American Mathematical Society
Volume324
Issue number1
DOIs
Publication statusPublished - 1991

Keywords

  • METIS-140411
  • IR-74996

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