Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation

Journal Article (Journal Article)

For the direct-inverse scattering transform of the time dependent Schrödinger equation, rigorous results are obtained based on an opertor-triangular-factorization approach. By viewing the equation as a first order operator equation, similar results as for the first order n x n matrix system are obtained. The nonlocal Riemann-Hilbert problem for inverse scattering is shown to have solution. © 1990 Springer-Verlag.

Full Text

Duke Authors

Cited Authors

  • Zhou, X

Published Date

  • March 1, 1990

Published In

Volume / Issue

  • 128 / 3

Start / End Page

  • 551 - 564

Electronic International Standard Serial Number (EISSN)

  • 1432-0916

International Standard Serial Number (ISSN)

  • 0010-3616

Digital Object Identifier (DOI)

  • 10.1007/BF02096873

Citation Source

  • Scopus