BARAN, Hynek. Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation. Communications in Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., 2021, vol. 96, may, p. "105692-1"-"105692-4", 4 pp. ISSN 1007-5704. Available from: https://dx.doi.org/10.1016/j.cnsns.2021.105692.
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Basic information
Original name Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation
Authors BARAN, Hynek (203 Czech Republic, guarantor, belonging to the institution).
Edition Communications in Nonlinear Science and Numerical Simulation, Amsterdam, Elsevier B.V. 2021, 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/47813059:19610/21:A0000093
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.cnsns.2021.105692
UT WoS 000626636200003
Keywords in English Integrable systems; Nonlocal symmetries; Recursion operators
Tags IGS-11-2019, MÚ
Tags International impact, Reviewed
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 29/3/2022 15:46.
Abstract
We study the modified Martinez Alonso-Shabat equation u(y)u(xz) + alpha u(x)u(ty) - (u(z) + alpha u(t))u(xy) = 0 and present its recursion operator and an infinite commuting hierarchy of full-fledged non-local symmetries. To date such hierarchies were found only for very few integrable systems in more than three independent variables.
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