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

J 2019

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

VOJČÁK, Petr, Oleg I. MOROZOV a Iosif S. KRASIL'SHCHIK

Základní údaje

Originální název

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

Autoři

VOJČÁK, Petr (203 Česká republika, domácí), Oleg I. MOROZOV (643 Rusko) a Iosif S. KRASIL'SHCHIK (643 Rusko)

Vydání

Journal of Geometry and Physics, Amsterdam, Elsevier B.V. 2019, 0393-0440

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Journal of Geometry and Physics

Kód RIV

RIV/47813059:19610/19:A0000054

Organizační jednotka

Matematický ústav v Opavě

DOI

http://dx.doi.org/10.1016/j.geomphys.2019.103519

UT WoS

000496342600020

Klíčová slova anglicky

Veronese web equation; Differential coverings; Lax pairs; Nonlocal symmetries; Recursion operators; Master symmetries

Štítky

MÚ

Příznaky

Mezinárodní význam, Recenzováno

Návaznosti

EF16_027/0008521, projekt VaV.

Změněno: 20. 4. 2020 16:00, Mgr. Aleš Ryšavý

Anotace

V originále

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.

Citovat

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

@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., 2019, roč.~146, December, s.~''103519-1''-''103519-11'', 11 s. ISSN~0393-0440. Dostupné z: https://dx.doi.org/10.1016/j.geomphys.2019.103519.

Podrobný výpis o publikaci