Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies
- 10.1080/14029251.2016.1274111How to use a DOI?
- the q-KP and q-mKP hierarchies; the constrained q-KP and constrained q-mKP hierarchies; Miura transformation; auto-Backlund transformation
The Miura and anti-Miura transformations between the q-deformed KP and the q-deformed modified KP hierarchies are investigated in this paper. Then the auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies are constructed through the combinations of the Miura and anti-Miura transformations. And the corresponding results are also generalized to the constrained cases. At last, some examples of Miura and auto-Backlund transformations are given.
- © 2017 The Authors. Published by Atlantis Press 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
TY - JOUR AU - Jipeng Cheng PY - 2021 DA - 2021/01/06 TI - Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies JO - Journal of Nonlinear Mathematical Physics SP - 7 EP - 19 VL - 24 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1274111 DO - 10.1080/14029251.2016.1274111 ID - Cheng2021 ER -