Asymptotics for \(t\to \infty\) of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as \(x\to \pm \infty\) (Q909116)

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scientific article; zbMATH DE number 4136553
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English
Asymptotics for \(t\to \infty\) of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as \(x\to \pm \infty\)
scientific article; zbMATH DE number 4136553

    Statements

    Asymptotics for \(t\to \infty\) of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as \(x\to \pm \infty\) (English)
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    1989
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    KdV equation
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    finite-gap solutions
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    inverse scattering method
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    large time asymptotics
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