Abstract
Isomonodromic deformations are nothing but symmetries of the Zakharov–Shabat (isospectral) hierarchy, both the basic ones (belonging to the hierarchy) and additionally, restricted to the submanifold of solutions to the string equation.
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Dickey, L.A. Additional Symmetries of the Zakharov—Shabat Hierarchy, String Equaion and Isomonodromy. Letters in Mathematical Physics 44, 53–65 (1998). https://doi.org/10.1023/A:1007469502091
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DOI: https://doi.org/10.1023/A:1007469502091