Journal of Nonlinear Mathematical Physics

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Volume 25, Issue 1, February 2018, Pages 54 - 65

Finite genus solutions for Geng hierarchy

Authors
Zhu Li
School of Mathematics and Statistics, Xinyang Normal University, 237 Nanhu Road, Xinyang, Henan 464000, China,lizhu2020@126.com
Received 25 October 2016, Accepted 18 August 2017, Available Online 6 January 2021.
DOI
10.1080/14029251.2018.1440742How to use a DOI?
Keywords
Hyperelliptic curve; meromorphic function; finite genus solutions
Abstract

The Geng hierarchy is derived with the aid of Lenard recursion sequences. Based on the Lax matrix, a hyperelliptic curve 𝒦n + 1 of arithmetic genus n+1 is introduced, from which meromorphic function ϕ is defined. The finite genus solutions for Geng hierarchy are achieved according to asymptotic properties of ϕ and the algebro-geometric characters of 𝒦n + 1.

Copyright
© 2018 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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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
25 - 1
Pages
54 - 65
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2018.1440742How to use a DOI?
Copyright
© 2018 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

risenwbib
TY  - JOUR
AU  - Zhu Li
PY  - 2021
DA  - 2021/01/06
TI  - Finite genus solutions for Geng hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 54
EP  - 65
VL  - 25
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2018.1440742
DO  - 10.1080/14029251.2018.1440742
ID  - Li2021
ER  -