VOJČÁK, Petr. Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation. Communications in Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., 2023, vol. 118, april, p. "107007-1"-"107007-11", 11 pp. ISSN 1007-5704. Available from: https://dx.doi.org/10.1016/j.cnsns.2022.107007.
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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
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 Communications in Nonlinear Science and Numerical Simulation
RIV identification code RIV/47813059:19610/23:A0000144
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.cnsns.2022.107007
UT WoS 000994624800001
Keywords in English 4D Martínez Alonso–Shabat equation; Lax pairs; Nonlocal symmetries; Recursion operators
Tags MÚ
Tags International impact, Reviewed
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 8/4/2024 12:26.
Abstract
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.
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