Scattering theory for delta-type potentials
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Abstract
In the example of the Korteweg-de Vries equation, we consider the problem of extending the applicability of the inverse spectral transform method using delta-type potentials and their Darboux transformations. In this case, the problem of the properties of scattering data reduces to studying explicitly given entire functions of the spectral parameter.
Keywords
inverse spectral problem additional spectrum Korteweg-de Vries equation second Painlevé equationPreview
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