2021
On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation
KRASILSHCHIK, Iosif Semjonovich and Petr VOJČÁKBasic information
Original name
On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation
Authors
KRASILSHCHIK, Iosif Semjonovich (643 Russian Federation, guarantor) and Petr VOJČÁK (203 Czech Republic, belonging to the institution)
Edition
Journal of Geometry and Physics, Amsterdam, Elsevier B.V. 2021, 0393-0440
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.380
RIV identification code
RIV/47813059:19610/21:A0000098
Organization unit
Mathematical Institute in Opava
UT WoS
000636084800017
EID Scopus
2-s2.0-85100164456
Keywords in English
4D Martinez Alonso-Shabat equation; Universal hierarchy equation; Lax pairs; Differential coverings; Nonlocal symmetries
Tags
Tags
International impact, Reviewed
Changed: 29/3/2022 12:39, Mgr. Aleš Ryšavý
Abstract
In the original language
We consider the 4D Martinez Alonso-Shabat equation epsilon u(ty) = u(z)u(xy) - u(y)u(xz) (also referred to as the universal hierarchy equation) and using its known Lax pair construct two infinite-dimensional differential coverings over epsilon. In these coverings, we give a complete description of the Lie algebras of nonlocal symmetries. In particular, our results generalize the ones obtained in Morozov and Sergyeyev (2014) and contain the constructed there infinite hierarchy of commuting symmetries as a subalgebra in a much bigger Lie algebra.