Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000144" target="_blank" >RIV/47813059:19610/23:A0000144 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S1007570422004944?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1007570422004944?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cnsns.2022.107007" target="_blank" >10.1016/j.cnsns.2022.107007</a>
Alternative languages
Result language
angličtina
Original language name
Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation
Original language description
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.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Nonlinear Science and Numerical Simulation
ISSN
1007-5704
e-ISSN
1878-7274
Volume of the periodical
118
Issue of the periodical within the volume
april
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
„107007-1“-„107007-11“
UT code for WoS article
000994624800001
EID of the result in the Scopus database
2-s2.0-85143498280