Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 1
Pages
155 - 167
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2019.1544796How to use a DOI?
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/).

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  -