Bäcklund and Darboux transformations for the nonstationary Schrödinger equation

Details Bäcklund and Darboux transformations for the nonstationary Schrödinger equation Bäcklund and Darboux transformations for the nonstationary Schrödinger equation

1999-02-16

arxiv.org/abs/math-ph/9902019v1

Physics

Mathematical Physics

to be published in Proc. of the Steklov Inst. of Mathematics, Moscow, Russia

Scientific paper

Potentials of the nonstationary Schr\"{o}dinger operator constructed by means of $n$ recursive B\"{a}cklund 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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