On Recursion Operators for Full-Fledged Nonlocal Symmetries of the Reduced Quasi-classical Self-dual Yang-Mills Equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000160" target="_blank" >RIV/47813059:19610/24:A0000160 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00023-024-01425-2" target="_blank" >https://link.springer.com/article/10.1007/s00023-024-01425-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00023-024-01425-2" target="_blank" >10.1007/s00023-024-01425-2</a>
Alternative languages
Result language
angličtina
Original language name
On Recursion Operators for Full-Fledged Nonlocal Symmetries of the Reduced Quasi-classical Self-dual Yang-Mills Equation
Original language description
We introduce the idea of constructing recursion operators for full-fledged nonlocal symmetries and apply it to the reduced quasi-classical self-dual Yang–Mills equation. It turns out that the discovered recursion operators can be interpreted as infinite-dimensional matrices of differential functions which act on the generating vector functions of the nonlocal symmetries simply by matrix multiplication. To the best of our knowledge, there are no other examples of such recursion operators in the literature so far, so our approach is completely innovative. Further, we investigate the algebraic properties of the discovered operators and discuss the R-algebra structure on the set of all recursion operators for full-fledged nonlocal symmetries of the equation in question. Finally, we illustrate the action of the obtained recursion operators on particularly chosen full-fledged symmetries and emphasize their advantages compared to the action of traditionally used recursion operators for shadows.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annales Henri Poincaré
ISSN
1424-0637
e-ISSN
1424-0661
Volume of the periodical
25
Issue of the periodical within the volume
10
Country of publishing house
CH - SWITZERLAND
Number of pages
37
Pages from-to
4633-4669
UT code for WoS article
001172954900001
EID of the result in the Scopus database
2-s2.0-85186432738