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Expressions in Fredholm determinants for solutions of the strict KP hierarchy G. F. Helminck a ,
E. A. Panasenko b a Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Amsterdam, The Netherlands b Tambov State University named after G.R. Derzhavin Abstract:
We present explicit expressions for wave functions and also their duals in terms of two Fredholm determinants that correspond to the geometric Segal–Wilson construction.
Keywords:
pseudodifferential operator, (strict) KP hierarchy, (dual) linearization, (dual) oscillating function, (dual) wave function, line bundle, Fredholm determinant, $\tau$ -function. Received: 06.08.2018
Revised: 19.09.2018
DOI:
10.4213/tmf9615
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