<Previous Article In Issue
Volume 26, Issue 1, December 2018, Pages 155 - 167
Inverse scattering on the half-line for generalized ZS-AKNS system with general boundary conditions
Authors
Mansur I. Ismailov
Department of Mathematics, Gebze Technical University, Gebze, Kocaeli, 41400, Turkey,mismailov@gtu.edu.tr
Bulent Yilmaz
Department of Mathematics, Marmara University, Kadiköy, Istanbul, 34722, Turkey,bulentyilmaz@marmara.edu.tr
Received 24 March 2018, Accepted 1 October 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2019.1544796How to use a DOI?
- Keywords
- Inverse scattering problem; generalized ZS-AKNS systems; scattering matrix on the half line
- Abstract
The inverse scattering problem for a first order system of three equations on the half-line with nonsingular diagonal matrix multiplying the derivative and general boundary conditions is considered. It is focused the case of two repeated diagonal elements of diagonal matrix. The scattering matrix on the half line is defined and a unique restoration of the potential from the scattering matrix is proved. The possible application to integration of integro-differential four-wave interaction problem is also focused.
- Copyright
- © 2019 The Authors. Published by Atlantis 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/).
Download article (PDF)
View full text (HTML)
<Previous Article In Issue
Cite this article
TY - JOUR AU - Mansur I. Ismailov AU - Bulent Yilmaz PY - 2021 DA - 2021/01/06 TI - Inverse scattering on the half-line for generalized ZS-AKNS system with general boundary conditions JO - Journal of Nonlinear Mathematical Physics SP - 155 EP - 167 VL - 26 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1544796 DO - 10.1080/14029251.2019.1544796 ID - Ismailov2021 ER -