TITLE:
Darboux Transformation and Exact Solutions for High Order Nonlocal Coupled AKNS System
AUTHORS:
Xiangpeng Xin, Zengxin Guo, Yanxin Hu, Linlin Zhang
KEYWORDS:
High Order Nonlocal Equation, Darboux Transformation, Exact Solution
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.11,
November
3,
2021
ABSTRACT: In this paper, we investigate an integrable high order nonlocal coupled Ablowitz-Kaup-Newell-Segur (AKNS) system for the first time. With the aid of Lax pair of this nonlocal system, Darboux transformation (DT) and new soliton-like solutions are obtained. Different from local equations, Darboux transformation of nonlocal systems needs to meet certain conditions. In this article, under the condition of symmetry reduction, the components of Darboux transformation need to satisfy . In order to study the dynamic information of the solutions, the images of the solutions are given.