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hbar-Dependent KP hierarchy (1105.0794v1)
Published 4 May 2011 in math-ph, hep-th, math.MP, math.QA, and nlin.SI
Abstract: This is a summary of a recursive construction of solutions of the hbar-dependent KP hierarchy. We give recursion relations for the coefficients X_n of an hbar-expansion of the operator X = X_0 + \hbar X_1 + \hbar2 X_2 + ... for which the dressing operator W is expressed in the exponential form W = \exp(X/\hbar). The asymptotic behaviours of (the logarithm of) the wave function and the tau function are also considered.
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