Nonlocal evolution equations associated with the Zakharov-Shabat problem (Q1109995)

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scientific article; zbMATH DE number 4071545
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Nonlocal evolution equations associated with the Zakharov-Shabat problem
scientific article; zbMATH DE number 4071545

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    Nonlocal evolution equations associated with the Zakharov-Shabat problem (English)
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    1987
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    Evolution equations with a pseudodifferential operator associated with the Zakharov-Shabat spectral problem are investigated. Correspondence between their symmetries and the symmetries of Schrödinger-type equations is established. This correspondence is used to construct the soliton solutions.
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    Evolution equations
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    Zakharov-Shabat spectral problem
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    symmetries
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    Schrödinger-type equations
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    soliton solutions
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