Volume 23, Issue 4, September 2016, Pages 544 - 562
A discrete negative AKNS equation: generalized Cauchy matrix approach
Authors
Song-lin Zhao
Department of Applied Mathematics, Zhejiang University of Technology Hangzhou, 310023, Zhejiang, P.R. China,songlinzhao@zjut.edu.cn
Received 19 June 2016, Accepted 26 August 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1237201How to use a DOI?
- Keywords
- discrete negative AKNS equation; solution; continuum limit; reduction
- Abstract
Generalized Cauchy matrix approach is used to investigate a discrete negative Ablowitz–Kaup–Newell–Segur (AKNS) equation. Several kinds of solutions more than multi-soliton solutions to this equation are derived by solving determining equation set. Furthermore, applying an appropriate continuum limit we obtain a semidiscrete negative AKNS equation and after a second continuum limit we derive the nonlinear negative AKNS equation. The reductions to discrete, semi-discrete and continuous sine-Gordon equations are also discussed.
- Copyright
- © 2016 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 - Song-lin Zhao PY - 2021 DA - 2021/01/06 TI - A discrete negative AKNS equation: generalized Cauchy matrix approach JO - Journal of Nonlinear Mathematical Physics SP - 544 EP - 562 VL - 23 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1237201 DO - 10.1080/14029251.2016.1237201 ID - Zhao2021 ER -