Volume 22, Issue 3, June 2015, Pages 395 - 427
Algebro-geometric Constructions of Quasi Periodic Flows of the Discrete Self-dual Network Hierarchy and Applications
Authors
Dong Gong
College of Science, Henan Institute of Engineering Zhengzhou, Henan 451191, People's Republic of China.gongdong2004@126.com
Xianguo Geng*
School of Mathematics and Statistics, Zhengzhou University, 100 Kexue Road Zhengzhou, Henan 450001, People's Republic of China,xggeng@zzu.edu.cn
*Corresponding author.
Corresponding Author
Xianguo Geng
Received 8 April 2015, Accepted 17 June 2015, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.1079423How to use a DOI?
- Keywords
- Discrete self-dual network hierarchy; quasi-periodic solutions
- Abstract
In this paper we obtain the discrete integrable self-dual network hierarchy associated with a discrete spectral problem. On the basis of the theory of algebraic curves, the continuous flow and discrete flow related to the discrete self-dual network hierarchy are straightened using the Abel-Jacobi coordinates. The meromorphic function and the Baker-Akhiezer function are introduced on the hyperelliptic curve. Quasi-periodic solutions of the discrete self-dual network hierarchy are constructed with the help of the asymptotic properties and the algebra-geometric characters of the meromorphic function, the Baker-Akhiezer function and the hyperelliptic curve.
- 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 - Dong Gong AU - Xianguo Geng PY - 2021 DA - 2021/01/06 TI - Algebro-geometric Constructions of Quasi Periodic Flows of the Discrete Self-dual Network Hierarchy and Applications JO - Journal of Nonlinear Mathematical Physics SP - 395 EP - 427 VL - 22 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.1079423 DO - 10.1080/14029251.2015.1079423 ID - Gong2021 ER -