Journal of Nonlinear Mathematical Physics

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Volume 26, Issue 3, May 2019, Pages 468 - 482

Quasiperiodic Solutions of the Heisenberg Ferromagnet Hierarchy

Authors
Peng Zhao
1College of Arts and Sciences, Shanghai Maritime University, Shanghai, 201306, People’s Republic of China
2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People’s Republic of China
3School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, People’s Republic of China,pengzhao@shmtu.edu.cn
Engui Fan*
School of Mathematical Sciences, Institute of Mathematics and Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai, 200433, People’s Republic of China,faneg@fudan.edu.cn
Temuerchaolu
College of Arts and Sciences, Shanghai Maritime University, Shanghai, 201306, People’s Republic of China,tmchaolu@shmtu.edu.cn
*Corresponding author
Corresponding Author
Engui Fan
Received 17 October 2018, Accepted 25 March 2019, Available Online 6 January 2021.
DOI
10.1080/14029251.2019.1613053How to use a DOI?
Keywords
Heisenberg ferromagnet hierarchy; spectral curve; Riemann theta function; quasiperiodic solution
Abstract

We present quasi-periodic solutions in terms of Riemann theta functions of the Heisenberg ferromagnet hierarchy by using algebrogeometric method. Our main tools include algebraic curve and Riemann surface, polynomial recursive formulation and a special meromorphic function.

Copyright
© 2019 The Authors. Published by Atlantis 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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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 3
Pages
468 - 482
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2019.1613053How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis 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

risenwbib
TY  - JOUR
AU  - Peng Zhao
AU  - Engui Fan
AU  - Temuerchaolu
PY  - 2021
DA  - 2021/01/06
TI  - Quasiperiodic Solutions of the Heisenberg Ferromagnet Hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 468
EP  - 482
VL  - 26
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2019.1613053
DO  - 10.1080/14029251.2019.1613053
ID  - Zhao2021
ER  -