paper

Bäcklund and Darboux transformations for the nonstationary Schrödinger equation

arXiv:math-ph/9902019

Abstract

Potentials of the nonstationary Schrödinger operator constructed by means of recursive Bäcklund 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.

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

Bäcklund and Darboux transformations for the nonstationary Schrödinger equation · wovepaper