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Transactions of the American Mathematical Society

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Negative Flows of the potential KP-hierarchy

Author: Guido Haak
Journal: Trans. Amer. Math. Soc. 348 (1996), 375-390
MSC (1991): Primary 35Q53; Secondary 58F07
MathSciNet review: 1340176
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Abstract: We construct a Grassmannian-like formulation for the potential KP-hierarchy including additional ``negative'' flows. Our approach will generalize the notion of a $\tau$-function to include negative flows. We compare the resulting hierarchy with results by Hirota, Satsuma and Bogoyavlenskii.

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Additional Information

Guido Haak
Affiliation: Department of Mathematics 405 Snow Hall University of Kansas Lawrence, Kansas 66045
Address at time of publication: Sonderforschungsbereich 288, MA 8-5, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin

Received by editor(s): June 22, 1994
Received by editor(s) in revised form: March 8, 1995
Additional Notes: Supported by KITCS grant OSR-9255223
Article copyright: © Copyright 1996 American Mathematical Society