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arXiv · 1105.0794

hbar-Dependent KP hierarchy

Kanehisa Takasaki·Takashi Takebe
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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 + \hbar^2 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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BibTeXRIS

Kanehisa Takasaki, Takashi Takebe. 2011-05-04. hbar-Dependent KP hierarchy. https://doi.org/10.1007/s11232-012-0065-y

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