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Formal solutions to the KP hierarchy
S M Natanzon, A V Zabrodin
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Source: Crossref
Published: Feb 26, 2016
DOI: 10.1088/1751-8113/49/14/145206
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Abstract We find all formal solutions to the ℏ-dependent KP hierarchy. They are characterized by certain Cauchy-like data. The solutions are found in the form of formal series for the tau-function of the hierarchy and for its logarithm (the F -function). An explicit combinatorial description of the coefficients of the series is provided.
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