Journal of Nonlinear Mathematical Physics

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Volume 21, Issue 2, March 2014, Pages 278 - 293

On Darboux transformations for the derivative nonlinear Schrödinger equation

Authors
Jonathan J.C. Nimmo1, Halis Yilmaz1, 2, *
1School of Mathematics and Statistics, University of Glasgow Glasgow G12 8QW, UK.Jonathan.Nimmo@glasgow.ac.uk
2Department of Mathematics, University of Dicle 21280 Diyarbakir, Turkey.halisyilmaz@dicle.edu.tr,Halis.Yilmaz@glasgow.ac.uk
*Corresponding author.
Corresponding Author
Halis Yilmaz
Received 3 January 2014, Accepted 26 February 2014, Available Online 6 January 2021.
DOI
10.1080/14029251.2014.905301How to use a DOI?
Keywords
Derivative nonlinear Schrödinger equation; Darboux transformation; Quasideterminants
Abstract

We consider Darboux transformations for the derivative nonlinear Schrödinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved. The solution is expressed in quasideterminant forms. Additionally, the parabolic and soliton solutions of the derivative nonlinear Schrödinger equation are given as explicit examples.

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/).

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
21 - 2
Pages
278 - 293
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2014.905301How to use a DOI?
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

risenwbib
TY  - JOUR
AU  - Jonathan J.C. Nimmo
AU  - Halis Yilmaz
PY  - 2021
DA  - 2021/01/06
TI  - On Darboux transformations for the derivative nonlinear Schrödinger equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 278
EP  - 293
VL  - 21
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2014.905301
DO  - 10.1080/14029251.2014.905301
ID  - J.C.Nimmo2021
ER  -