Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation (Q538424)
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| Language | Label | Description | Also known as |
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| English | Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation |
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Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation (English)
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25 May 2011
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The author deals with Weyl theory for a non-classical system depending rationally on the spectral parameter. A Borg-Marchenko-type uniqueness theorem is proved. The solution of the inverse problem is constructed. An application to the sine-Gordon equation in laboratory coordinates is given.
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Weyl theory
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inverse problem
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operator identity
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spectral parameter
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rational dependence
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sine-Gordon equation
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