Journal of Nonlinear Mathematical Physics

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Volume 26, Issue 3, May 2019, Pages 404 - 419

Bilinear Identities and Squared Eigenfunction Symmetries of the BCr-KP Hierarchy

Authors
Lumin Geng, Huizhan Chen, Na Li, Jipeng Cheng*
School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China,genglumin@163.com;878056372@qq.com;2270798972@qq.com;chengjp@cumt.edu.cn.
*Corresponding author. Email:chengjp@cumt.edu.cn.
Corresponding Author
Jipeng Cheng
Received 16 December 2018, Accepted 6 March 2019, Available Online 6 January 2021.
DOI
10.1080/14029251.2019.1613049How to use a DOI?
Keywords
the BCr-KP hierarchy; the constrained BCr-KP hierarchy; bilinear identities; squared eigenfunction symmetries
Abstract

The BCr-KP hierarchy is an important sub hierarchy of the KP hierarchy, which includes the BKP and CKP hierarchies as the special cases. Some properties of the BCr-KP hierarchy and its constrained case are investigated in this paper, including bilinear identities and squared eigenfunction symmetries. We firstly discuss the bilinear identities of the BCr-KP hierarchy, and then generalize them into the constrained case. Next, we investigate the squared eigenfunction symmetries for the BCr-KP hierarchy and its constrained case, and also the connections with the additional symmetries. It is found that the constrained BCr-KP hierarchy can be defined by identifying the time flow with the squared eigenfunction symmetries.

Copyright
Β© 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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 3
Pages
404 - 419
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2019.1613049How to use a DOI?
Copyright
Β© 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  - Lumin Geng
AU  - Huizhan Chen
AU  - Na Li
AU  - Jipeng Cheng
PY  - 2021
DA  - 2021/01/06
TI  - Bilinear Identities and Squared Eigenfunction Symmetries of the BCr-KP Hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 404
EP  - 419
VL  - 26
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2019.1613049
DO  - 10.1080/14029251.2019.1613049
ID  - Geng2021
ER  -