Isomonodromic deformations and integrable systems (Q5944691)

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scientific article; zbMATH DE number 1654964
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Isomonodromic deformations and integrable systems
scientific article; zbMATH DE number 1654964

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    Isomonodromic deformations and integrable systems (English)
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    4 February 2002
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    Here, the author gives a possibly simple and graphical description of a relationship between the isomonodromic problem and integrable systems. One can construct a huge integral system which contains isomonodromic deformations as well as all known 2-dimensional integrable systems in the Zakharov-Shabat form as its restrictions. Besides, the author gives a proof of the isomonodromic property of the constructed deformations that is considerably easier than existent proofs.
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    Zakhov-Shabat
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    hierarchy
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    isomonodromic problem
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