Journal of Nonlinear Mathematical Physics

Volume 28, Issue 1, March 2021, Pages 53 - 67

The Miura Links of the Symmetries in the q-Deformed Case

Authors
Siqi Jian1, Jipeng Cheng2, *
1School of Statistics, Capital University of Economics and Business, Beijing 100070, P. R. China
2School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China
*Corresponding author. Email: chengjp@cumt.edu.cn
Corresponding Author
Jipeng Cheng
Received 29 April 2019, Accepted 27 April 2020, Available Online 10 December 2020.
DOI
https://doi.org/10.2991/jnmp.k.200922.005How to use a DOI?
Keywords
Squared eigenfunction symmetry, additional symmetry, Miura transformation, the q-KP hierarchies, the q-mKP hierarchies
Abstract

In this paper, we first construct the squared eigenfunction symmetries for the q-deformed Kadomtsev–Petviashvili (KP) and q-deformed modified KP hierarchies, including the unconstrained and constrained cases. Then the Miura links of the squared eigenfunction symmetries are investigated. At last, we also discuss the Miura links of the additional symmetries, since the additional symmetries are closely related with the squared eigenfunction symmetries.

Copyright
© 2020 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 - 1
Pages
53 - 67
Publication Date
2020/12
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.k.200922.005How to use a DOI?
Copyright
© 2020 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  - Siqi Jian
AU  - Jipeng Cheng
PY  - 2020
DA  - 2020/12
TI  - The Miura Links of the Symmetries in the q-Deformed Case
JO  - Journal of Nonlinear Mathematical Physics
SP  - 53
EP  - 67
VL  - 28
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.k.200922.005
DO  - https://doi.org/10.2991/jnmp.k.200922.005
ID  - Jian2020
ER  -