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Formal solution to the KP hierarchy (1509.04472v1)
Published 15 Sep 2015 in math-ph, hep-th, math.MP, and nlin.SI
Abstract: We find all formal solutions to the $\hbar$-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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