Completely integrable systems of the KdV type related to isospectral periodic regular difference operators (Q1821275)

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scientific article; zbMATH DE number 3998380
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Completely integrable systems of the KdV type related to isospectral periodic regular difference operators
scientific article; zbMATH DE number 3998380

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    Completely integrable systems of the KdV type related to isospectral periodic regular difference operators (English)
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    1986
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    Completely integrable KdV systems are described on coadjoint orbits, which are isospectral classes of periodic regular difference operators. The finite zone solutions for some field equations are obtained when the equations are written on a jet bundle of maps with values in a Lie group and if the orbits are truncated invariantly with regard to the group action.
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    Completely integrable KdV systems
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    coadjoint orbits
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    isospectral classes
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    periodic regular difference operators
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    finite zone solutions
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