J
2021
Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation
BARAN, Hynek
Basic information
Original name
Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation
Edition
Communications in Nonlinear Science and Numerical Simulation, Amsterdam, Elsevier B.V. 2021, 1007-5704
Other information
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
Impact factor
Impact factor: 4.186
RIV identification code
RIV/47813059:19610/21:A0000093
Organization unit
Mathematical Institute in Opava
EID Scopus
2-s2.0-85099511919
Keywords in English
Integrable systems; Nonlocal symmetries; Recursion operators
Tags
International impact, Reviewed
In the original language
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.
Displayed: 29/1/2026 22:54