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Chen, J.C., Ma, Z.Y. and Hu, Y.H. (2018) Nonlocal Symmetry, Darboux Transformation and Soliton-Cnoidal Wave Interaction Solution for the Shallow Water Wave Equation. Journal of Mathematical Analysis and Applications, 460, 987-1003.
https://doi.org/10.1016/j.jmaa.2017.12.028

has been cited by the following article:

• 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.