B\"acklund and Darboux transformations for the nonstationary Schr\"odinger equation
Abstract
Potentials of the nonstationary Schr\"odinger operator constructed by means of n recursive B\"acklund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced. We show that these solutions obey modified integral equations and present their analyticity properties. Generated transformations of the spectral data are derived.
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