Volume 22, Issue 1, December 2014, Pages 144 - 154
A Vector Fokas-Lenells System from the Coupled Nonlinear Schrödinger Equations
Authors
MengXia Zhang
Department of Mathematics, China University of Mining and Technology, Beijing, 100083, the People's Republic of China.zmx@cumtb.edu.cn
ShaoLing He
LiYun Experimental School of Beijing Normal University, Beijing, 100014, the People's Republic of China.heshaoling86818@163.com
ShuQiang Lv
Department of Basic Education, College of Applied Arts and Science of Beijing Union University, Beijing 100191, the People's Republic of China.shuqianglv@163.com
Received 29 July 2014, Accepted 23 October 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.996445How to use a DOI?
- Keywords
- Hamiltonian operators; Lax pair; coupled nonlinear Schrödinger equation; derivative nonlinear Schrödinger equation
- Abstract
With the aid of the spectral gradient method of Fuchssteiner, the compatible pair of Hamiltonian operators for the coupled NLS hierarchy is rediscovered. This result enables us to construct a hierarchy, which contains a vector generalization of Fokas-Lenells system. The vector Fokas-Lenells system is shown to be bi-Hamiltonian and to possess a Lax pair.
- 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 - MengXia Zhang AU - ShaoLing He AU - ShuQiang Lv PY - 2021 DA - 2021/01/06 TI - A Vector Fokas-Lenells System from the Coupled Nonlinear Schrödinger Equations JO - Journal of Nonlinear Mathematical Physics SP - 144 EP - 154 VL - 22 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.996445 DO - 10.1080/14029251.2015.996445 ID - Zhang2021 ER -