Volume 21, Issue 2, March 2014, Pages 265 - 277
Time-evolution-proof Scattering Data for the Focusing and Defocusing Zakharov-Shabat Systems
Authors
Cornelis van der Mee
Dip. Matematica e Informatica, Universitá di Cagliari, Viale Merello 92 09123 Cagliari, Italy.cornelis110553@gmail.com
Received 13 January 2014, Accepted 24 February 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.905300How to use a DOI?
- Keywords
- nonlinear Schrödinger equation; characterization problem; Zakharov-Shabat system
- Abstract
In this article we give sufficient conditions on the scattering data of a defocusing or focusing Zakharov-Shabat system in order that its potential is square integrable. For a dense subset of integrable as well as square integrable potentials, we show that the scattering data actually satisfy these sufficient conditions.
- Copyright
- © 2014 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Cornelis van der Mee PY - 2021 DA - 2021/01/06 TI - Time-evolution-proof Scattering Data for the Focusing and Defocusing Zakharov-Shabat Systems JO - Journal of Nonlinear Mathematical Physics SP - 265 EP - 277 VL - 21 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.905300 DO - 10.1080/14029251.2014.905300 ID - vanderMee2021 ER -