VOJČÁK, Petr, Oleg I. MOROZOV and 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, vol. 146, December, p. "103519-1"-"103519-11", 11 pp. ISSN 0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2019.103519.
Other formats:   BibTeX LaTeX RIS
Basic information
Original name Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
Authors VOJČÁK, Petr (203 Czech Republic, belonging to the institution), Oleg I. MOROZOV (643 Russian Federation) and Iosif S. KRASIL'SHCHIK (643 Russian Federation).
Edition Journal of Geometry and Physics, Amsterdam, Elsevier B.V. 2019, 0393-0440.
Other information
Original 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
WWW Journal of Geometry and Physics
RIV identification code RIV/47813059:19610/19:A0000054
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.geomphys.2019.103519
UT WoS 000496342600020
Keywords in English Veronese web equation; Differential coverings; Lax pairs; Nonlocal symmetries; Recursion operators; Master symmetries
Tags MÚ
Tags International impact, Reviewed
Links EF16_027/0008521, research and development project.
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 20/4/2020 16:00.
Abstract
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.
PrintDisplayed: 28/4/2024 01:05