Additional symmetries of the Zakharov-Shabat hierarchy, string equation and isomonodromy (Q1389162)
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| Language | Label | Description | Also known as |
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| English | Additional symmetries of the Zakharov-Shabat hierarchy, string equation and isomonodromy |
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Additional symmetries of the Zakharov-Shabat hierarchy, string equation and isomonodromy (English)
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12 August 1998
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We explain and prove the following statement: 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. All the symmetries commute with each other, so the equations can be integrated together.
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Zakharov-Shabat hierarchy
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string equation
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isomonodromy
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