Negative Flows of the potential KP-hierarchy

Haak, Guido

doi:10.1090/S0002-9947-96-01560-7

Negative Flows of the potential KP-hierarchy
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by Guido Haak PDF

Trans. Amer. Math. Soc. 348 (1996), 375-390 Request permission

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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