Semiclassical expansions in the Toda hierarchy and the hermitian matrix model

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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22 pages

Scientific paper

10.1088/1751-8113/40/47/013

An iterative algorithm for determining a class of solutions of the
dispersionful 2-Toda hierarchy characterized by string equations is developed.
This class includes the solution which underlies the large N-limit of the
Hermitian matrix model in the one-cut case. It is also shown how the double
scaling limit can be naturally formulated in this scheme

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