Bäcklund and Darboux transformations for the nonstationary Schrödinger equation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Potentials of the nonstationary Schrödinger operator constructed by means of $n$ 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

Keywords

Mathematical Physics, Exactly Solvable and Integrable Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/58284

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/9902019
 http://arxiv.org/abs/math-ph/9902019

Collections

arXiv