Volume 22, Issue 1, December 2014, Pages 32 - 46
Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
Authors
Halis Yilmaz
School of Mathematics and Statistics, University of Glasgow Glasgow G12 8QW, UK.Halis.Yilmaz@glasgow.ac.uk
Department of Mathematics, University of Dicle 21280 Diyarbakir, Turkey.halisyilmaz@dicle.edu.tr
Received 21 July 2014, Accepted 18 September 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.996438How to use a DOI?
- Keywords
- Gerdjikov-Ivanov equation; Derivative nonlinear Schrödinger equation; Darboux transformation; Quasideterminants
- Abstract
We study the Gerdjikov-Ivanov (GI) equation and present a standard Darboux transformation for it. The solution is given in terms of quasideterminants. Further, the parabolic, soliton and breather solutions of the GI equation are given as explicit examples.
- Copyright
- © 2015 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 - Halis Yilmaz PY - 2021 DA - 2021/01/06 TI - Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations JO - Journal of Nonlinear Mathematical Physics SP - 32 EP - 46 VL - 22 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.996438 DO - 10.1080/14029251.2015.996438 ID - Yilmaz2021 ER -