J
2023
Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation
VOJČÁK, Petr
Basic information
Original name
Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation
Authors
VOJČÁK, Petr (203 Czech Republic, guarantor, belonging to the institution)
Edition
Communications in Nonlinear Science and Numerical Simulation, Amsterdam, Elsevier B.V. 2023, 1007-5704
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19610/23:A0000144
Organization unit
Mathematical Institute in Opava
Keywords in English
4D Martínez Alonso–Shabat equation; Lax pairs; Nonlocal symmetries; Recursion operators
Tags
International impact, Reviewed
V originále
We present new recursion operators for (shadows of nonlocal) symmetries of the 4D Martínez Alonso-Shabat equation uty = uzuxy - uyuxz, and we show that their actions can produce new symmetries which are not contained in the Lie algebra of nonlocal symmetries presented in Krasil'shchik and Vojčák (2021). To this end, we construct a non-Abelian covering of the equation in question using the Lax pair with two non-removable parameters.
Displayed: 26/12/2024 12:38