Volume 25, Issue 2, March 2018, Pages 188 - 197
Nonlocal symmetries of Plebański’s second heavenly equation
Authors
Aleksandra Lelito, Oleg I. Morozov
Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, Cracow 30-059, Poland,alelito@agh.edu.pl,morozov@agh.edu.pl
Received 20 July 2017, Accepted 7 November 2017, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1452669How to use a DOI?
- Keywords
- Plebański’s second heavenly equation; Lax pair; differential covering; nonlocal symmetries
- Abstract
We study nonlocal symmetries of Plebański’s second heavenly equation in an infinite-dimensional covering associated to a Lax pair with a non-removable spectral parameter. We show that all local symmetries of the equation admit lifts to full-fledged nonlocal symmetries in the infinite-dimensional covering. Also, we find two new infinite hierarchies of commuting nonlocal symmetries in this covering and describe the structure of the Lie algebra of the obtained nonlocal symmetries.
- Copyright
- © 2018 The Authors. Published by Atlantis 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/).
Download article (PDF)
View full text (HTML)
Cite this article
TY - JOUR AU - Aleksandra Lelito AU - Oleg I. Morozov PY - 2021 DA - 2021/01/06 TI - Nonlocal symmetries of Plebański’s second heavenly equation JO - Journal of Nonlinear Mathematical Physics SP - 188 EP - 197 VL - 25 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1452669 DO - 10.1080/14029251.2018.1452669 ID - Lelito2021 ER -