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
- 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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TY - JOUR AU - Siqi Jian AU - Jipeng Cheng PY - 2020 DA - 2020/12/10 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 - 10.2991/jnmp.k.200922.005 ID - Jian2020 ER -