Volume 27, Issue 4, September 2020, Pages 633 - 646
Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation
Authors
Xiaoxue Xu*
School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People’s Republic of China,xiaoxuexu@zzu.edu.cn
Cewen Cao
School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People’s Republic of China,cwcao@zzu.edu.cn
Guangyao Zhang
School of Science, Huzhou University, Zhejiang, 313000, People’s Republic of China,zgy101003@163.com
*Corresponding author.
Corresponding Author
Xiaoxue Xu
Received 22 March 2019, Accepted 25 January 2020, Available Online 4 September 2020.
- DOI
- 10.1080/14029251.2020.1819608How to use a DOI?
- Keywords
- lattice Schwarzian Korteweg-de Vries equation; integrable symplectic map; finite genus solution
- Abstract
Based on integrable Hamiltonian systems related to the derivative Schwarzian Korteweg-de Vries (SKdV) equation, a novel discrete Lax pair for the lattice SKdV (lSKdV) equation is given by two copies of a Darboux transformation which can be used to derive an integrable symplectic correspondence. Resorting to the discrete version of Liouville-Arnold theorem, finite genus solutions to the lSKdV equation are calculated through Riemann surface method.
- Copyright
- © 2020 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/).
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TY - JOUR AU - Xiaoxue Xu AU - Cewen Cao AU - Guangyao Zhang PY - 2020 DA - 2020/09/04 TI - Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation JO - Journal of Nonlinear Mathematical Physics SP - 633 EP - 646 VL - 27 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1819608 DO - 10.1080/14029251.2020.1819608 ID - Xu2020 ER -