Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F19%3AA0000054" target="_blank" >RIV/47813059:19610/19:A0000054 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0393044019302013?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0393044019302013?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2019.103519" target="_blank" >10.1016/j.geomphys.2019.103519</a>

Result language
angličtina
Original language name
Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation
Original language description
We study the Veronese web equation u(y)u(tx) + lambda u(x)u(ty) - (lambda + 1)u(t)u(xy) = 0 and using its isospectral Lax pair construct two infinite series of nonlocal conservation laws. In the infinite differential coverings associated to these series, we describe the Lie algebras of the corresponding nonlocal symmetries. Finally, we construct a recursion operator and explore its action on nonlocal shadows. The operator provides a new shadow which serves as a master-symmetry.
Czech name
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Czech description
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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

Project
<a href="/en/project/EF16_027%2F0008521" target="_blank" >EF16_027/0008521: Support of International Mobility of Researchers on SU</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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