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Additional symmetries of the Zakharov-Shabat hierarchy, String equation and Isomonodromy

L. A. Dickey
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Abstract

Isomonodromic deformations are nothing but symmetries of the Zakharov-Shabat (isospectral) hierarchy, both the basic ones (belonging to the hierarchy) and additional, restricted to the submanifold of solutions to the string equation.

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L. A. Dickey. 1997-10-31. Additional symmetries of the Zakharov-Shabat hierarchy, String equation and Isomonodromy. https://arxiv.org/abs/solv-int/9711003

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