Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation

@article{78285,
   author = {Vojčák, Petr},
   article_location = {Amsterdam},
   article_number = {april},
   doi = {http://dx.doi.org/10.1016/j.cnsns.2022.107007},
   keywords = {4D Martínez Alonso–Shabat equation; Lax pairs; Nonlocal symmetries; Recursion operators},
   language = {eng},
   issn = {1007-5704},
   journal = {Communications in Nonlinear Science and Numerical Simulation},
   title = {Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation},
   url = {https://www.sciencedirect.com/science/article/pii/S1007570422004944},
   volume = {118},
   year = {2023}
}

TY  - JOUR
ID  - 78285
AU  - Vojčák, Petr
PY  - 2023
TI  - Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation
JF  - Communications in Nonlinear Science and Numerical Simulation
VL  - 118
IS  - april
SP  - "107007-1"-"107007-11"
EP  - "107007-1"-"107007-11"
PB  - Elsevier B.V.
SN  - 10075704
KW  - 4D Martínez Alonso–Shabat equation
KW  - Lax pairs
KW  - Nonlocal symmetries
KW  - Recursion operators
UR  - https://www.sciencedirect.com/science/article/pii/S1007570422004944
N2  - 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.
ER  - 

VOJČÁK, Petr. Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation. \textit{Communications in Nonlinear Science and Numerical Simulation}. Amsterdam: Elsevier B.V., 2023, roč.~118, april, s.~''107007-1''-''107007-11'', 11 s. ISSN~1007-5704. Dostupné z: https://dx.doi.org/10.1016/j.cnsns.2022.107007.