Volume 24, Issue 1, December 2016, Pages 79 - 92
Additional symmetries and string equations of the noncommutative B and C type KP hierarchies
Authors
Qiufang Liu, Chuanzhong Li*
Department of Mathematics, Ningbo University, Ningbo, 315211, Zhejiang, P. R. China
*Corresponding author. E-mail: lichuanzhong@nbu.edu.cn.
Corresponding Author
Chuanzhong Li
Received 24 July 2016, Accepted 30 November 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2017.1282245How to use a DOI?
- Keywords
- noncommutative B and C type KP hierarchies; additional symmetry; W1+∞ Lie algebra; String equation
- Abstract
In this paper, we construct the noncommutative B and C type KP hierarchies using pseudo-differential operators and reducing conditions. Further a series of additional flows of the noncommutative B and C type KP hierarchies will be defined and the additional symmetries constitute the B and C type infinite dimensional Lie algebra W1+∞. In addition, the generating function of the additional symmetries can also be proved to have a nice form in terms of wave functions. Further, the string equations of the noncommutative B and C type KP hierarchies are derived.
- Copyright
- © 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 - Qiufang Liu AU - Chuanzhong Li PY - 2021 DA - 2021/01/06 TI - Additional symmetries and string equations of the noncommutative B and C type KP hierarchies JO - Journal of Nonlinear Mathematical Physics SP - 79 EP - 92 VL - 24 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2017.1282245 DO - 10.1080/14029251.2017.1282245 ID - Liu2021 ER -