Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation

@article{32743,
   author = {Vojčák, Petr and Morozov, Oleg I. and Krasil'shchik, Iosif S.},
   article_location = {Amsterdam},
   article_number = {December},
   doi = {http://dx.doi.org/10.1016/j.geomphys.2019.103519},
   keywords = {Veronese web equation; Differential coverings; Lax pairs; Nonlocal symmetries; Recursion operators; Master symmetries},
   language = {eng},
   issn = {0393-0440},
   journal = {Journal of Geometry and Physics},
   title = {Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation},
   url = {https://www.sciencedirect.com/science/article/pii/S0393044019302013?via%3Dihub},
   volume = {146},
   year = {2019}
}

TY  - JOUR
ID  - 32743
AU  - Vojčák, Petr - Morozov, Oleg I. - Krasil'shchik, Iosif S.
PY  - 2019
TI  - Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
JF  - Journal of Geometry and Physics
VL  - 146
IS  - December
SP  - "103519-1"-"103519-11"
EP  - "103519-1"-"103519-11"
PB  - Elsevier B.V.
SN  - 03930440
KW  - Veronese web equation
KW  - Differential coverings
KW  - Lax pairs
KW  - Nonlocal symmetries
KW  - Recursion operators
KW  - Master symmetries
UR  - https://www.sciencedirect.com/science/article/pii/S0393044019302013?via%3Dihub
L2  - https://www.sciencedirect.com/science/article/pii/S0393044019302013?via%3Dihub
N2  - We study the Veronese web equation u(y)u(tx) + lambda u(x)u(ty) - (lambda + 1)u(t)u(xy) = 0 and using its isospectral Lax pair construct two infinite series of nonlocal conservation laws. In the infinite differential coverings associated to these series, we describe the Lie algebras of the corresponding nonlocal symmetries. Finally, we construct a recursion operator and explore its action on nonlocal shadows. The operator provides a new shadow which serves as a master-symmetry.
ER  - 

VOJČÁK, Petr, Oleg I. MOROZOV a Iosif S. KRASIL'SHCHIK. Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation. \textit{Journal of Geometry and Physics}. Amsterdam: Elsevier B.V., roč.~146, December, s.~''103519-1''-''103519-11'', 11 s. ISSN~0393-0440. doi:10.1016/j.geomphys.2019.103519. 2019.