Journal of Nonlinear Mathematical Physics

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Volume 26, Issue 1, December 2018, Pages 91 - 97

A 3-Lie algebra and the dKP Hierarchy

Authors
Min-Ru Chen
School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
Ying Chen
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
Zhao-Wen Yan
School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
Jian-Qin Mei
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
Xiao-Li Wang
School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China,wxlspu@qlu.edu.cn
Received 18 May 2018, Accepted 15 July 2018, Available Online 6 January 2021.
DOI
10.1080/14029251.2019.1544791How to use a DOI?
Keywords
3-Lie algebra; dKP hierarchy; Integrable systems
Abstract

In terms of a 3-Lie algebra and the classical Poisson bracket {Bn,L} of the dKP hierarchy, a special 3-bracket {Bm,Bn,L} is proposed. When m = 0 or m = 1, the 3-lax equation ∂L∂t={Bm,Bn,L} is the dKP hierarchy and the corresponding proof is given. Meanwhile, for the generalized case (m,n), the generalized dKP hierarchy is also investigated.

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 - 1
Pages
91 - 97
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2019.1544791How 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  - Min-Ru Chen
AU  - Ying Chen
AU  - Zhao-Wen Yan
AU  - Jian-Qin Mei
AU  - Xiao-Li Wang
PY  - 2021
DA  - 2021/01/06
TI  - A 3-Lie algebra and the dKP Hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 91
EP  - 97
VL  - 26
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2019.1544791
DO  - 10.1080/14029251.2019.1544791
ID  - Chen2021
ER  -