The Miura Links of the Symmetries in the q-Deformed Case
- https://doi.org/10.2991/jnmp.k.200922.005How to use a DOI?
- Squared eigenfunction symmetry, additional symmetry, Miura transformation, the q-KP hierarchies, the q-mKP hierarchies
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.
- © 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 -