Journal of Nonlinear Mathematical Physics

Volume 28, Issue 3, September 2021, Pages 337 - 343

On the Generalized KdV Hierarchy and Boussinesq Hierarchy with Lax Triple

Authors
Xiaoli Wang1, *, ORCID, Jian-Qin Mei2
1School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
*Corresponding author. Email: wxlspu@qlu.edu.cn
Corresponding Author
Xiaoli Wang
Received 11 March 2021, Accepted 31 May 2021, Available Online 22 June 2021.
DOI
https://doi.org/10.2991/jnmp.k.210614.001How to use a DOI?
Keywords
Lax equation, KdV hierarchy, Boussinesq hierarchy, Lax triple
Abstract

Based on the Nambu 3-bracket and the operators of the KP hierarchy, we propose the generalized Lax equation of the Lax triple. Under the operator constraints, we construct the generalized KdV hierarchy and Boussinesq hierarchy. Moreover, we present the exact solutions of some nonlinear evolution equations.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
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
28 - 3
Pages
337 - 343
Publication Date
2021/06/22
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.k.210614.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
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  - Xiaoli Wang
AU  - Jian-Qin Mei
PY  - 2021
DA  - 2021/06/22
TI  - On the Generalized KdV Hierarchy and Boussinesq Hierarchy with Lax Triple
JO  - Journal of Nonlinear Mathematical Physics
SP  - 337
EP  - 343
VL  - 28
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.k.210614.001
DO  - https://doi.org/10.2991/jnmp.k.210614.001
ID  - Wang2021
ER  -