Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
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- Gerdjikov-Ivanov equation, Derivative nonlinear Schrödinger equation, Darboux transformation, Quasideterminants
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.
- © 2015 The Authors. Published by Atlantis Press and Taylor & Francis
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- 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 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 - https://doi.org/10.1080/14029251.2015.996438 ID - Yilmaz2021 ER -