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Supersymmetry and Integrable Models pp 167–182Cite as

Constrained and rational reductions of the KP hierarchy

  • Integrable Models
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Part of the book series: Lecture Notes in Physics ((LNP,volume 502))

Abstract

We consider Segal and Wilson’s description of the KP hierarchy on the Hilbert-Schmidt Grassmannian. In this setting we show that the (vector) constrained KP hierarchy and Krichever and Dickey’s rational reductions of the KP hierarchy are the same. To prove this, we use some results on elementary Bäcklund-Darboux transformations.

JvdL is financially supported by the Netherlands Organization for Scientific Research (NWO).

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Authors and Affiliations

  1. Faculty of Applied Mathematics, University of Twente, P.O.Box 217, 7500 AE, Enschede, The Netherlands

    Gerard Helminck & Johan van de Leur

Authors
  1. Gerard Helminck
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  2. Johan van de Leur
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Henrik Aratyn Tom D. Imbo Wai-Yee Keung Uday Sukhatme

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© 1998 Springer-Verlag

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Helminck, G., van de Leur, J. (1998). Constrained and rational reductions of the KP hierarchy. In: Aratyn, H., Imbo, T.D., Keung, WY., Sukhatme, U. (eds) Supersymmetry and Integrable Models. Lecture Notes in Physics, vol 502. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105318

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  • DOI: https://doi.org/10.1007/BFb0105318

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  • Print ISBN: 978-3-540-63986-2

  • Online ISBN: 978-3-540-69679-7

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