Journal of Nonlinear Mathematical Physics

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Volume 20, Issue 1, April 2013, Pages 61 - 77

Quasi-Periodic Solutions of Coupled KDV Type Equations

Authors
Bo Xue*
Department of Mathematics, ZhengZhou University, 100 Kexue Road, ZhengZhou, Henan 450001, People's Republic of China,xuebo@zzu.edu.cn
Fang Li
College of Science, Henan University of Technology, Lianhua Road, Zhengzhou, Henan 450001, People's Republic of China,lfseafish@163.com
Xianguo Geng
Department of Mathematics, ZhengZhou University, 100 Kexue Road, ZhengZhou, Henan 450001, People's Republic of China,xggeng@zzu.edu.cn
*Corresponding author.
Corresponding Author
Bo Xue
Received 2 October 2012, Accepted 5 November 2012, Available Online 6 January 2021.
DOI
10.1080/14029251.2013.792472How to use a DOI?
Keywords
Quasi-periodic solutions; coupled KdV type equations
Abstract

A hierarchy of new nonlinear evolution equations is proposed, which are composed of the positive and negative coupled KdV flows. Based on the theory of algebraic curve, the corresponding flows are straightened under the Abel-Jacobi coordinates. The meromorphic function ϕ, the Baker-Akhiezer vector ψ¯ , and the hyperelliptic curve 𝒦n are introduced by which quasi-periodic solutions of the first two nonlinear evolution equations in the hierarchy are constructed according to the asymptotic properties and the algebro-geometric characters of ϕ, ψ¯ and 𝒦n.

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - 1
Pages
61 - 77
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2013.792472How to use a DOI?
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

risenwbib
TY  - JOUR
AU  - Bo Xue
AU  - Fang Li
AU  - Xianguo Geng
PY  - 2021
DA  - 2021/01/06
TI  - Quasi-Periodic Solutions of Coupled KDV Type Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 61
EP  - 77
VL  - 20
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.792472
DO  - 10.1080/14029251.2013.792472
ID  - Xue2021
ER  -