Volume 20, Issue 3, October 2013, Pages 355 - 393
Algebro-Geometric Solutions and Their Reductions for the Fokas-Lenells Hierarchy
Authors
Peng Zhao
School of Mathematical Sciences, Institute of Mathematics and Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, P.R. China
Engui Fan*
School of Mathematical Sciences, Institute of Mathematics and Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, P.R. China
Yu Hou
School of Mathematical Sciences, Institute of Mathematics and Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, P.R. China
*Corresponding author: faneg@fudan.edu.cn
Corresponding Author
Engui Fan
Received 6 May 2013, Accepted 12 July 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.854094How to use a DOI?
- Keywords
- hyperellipic curve; Baker-Akhiezer function; algebro-geometric solutions; n-dark solitons
- Abstract
This paper is dedicated to provide theta function representations of algebro-geometric solutions for the Fokas- Lenells (FL) hierarchy through studying an algebro-geometric initial value problem. Further, we reduce these solutions into n-dark solutions through the degeneration of associated Riemann surfaces.
- Copyright
- © 2013 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 - Peng Zhao AU - Engui Fan AU - Yu Hou PY - 2021 DA - 2021/01/06 TI - Algebro-Geometric Solutions and Their Reductions for the Fokas-Lenells Hierarchy JO - Journal of Nonlinear Mathematical Physics SP - 355 EP - 393 VL - 20 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.854094 DO - 10.1080/14029251.2013.854094 ID - Zhao2021 ER -