On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F21%3AA0000098" target="_blank" >RIV/47813059:19610/21:A0000098 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0393044021000139" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0393044021000139</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2021.104122" target="_blank" >10.1016/j.geomphys.2021.104122</a>

Result language
angličtina
Original language name
On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation
Original language description
We consider the 4D Martinez Alonso-Shabat equation epsilon u(ty) = u(z)u(xy) - u(y)u(xz) (also referred to as the universal hierarchy equation) and using its known Lax pair construct two infinite-dimensional differential coverings over epsilon. In these coverings, we give a complete description of the Lie algebras of nonlocal symmetries. In particular, our results generalize the ones obtained in Morozov and Sergyeyev (2014) and contain the constructed there infinite hierarchy of commuting symmetries as a subalgebra in a much bigger Lie algebra.
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
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OECD FORD branch
10101 - Pure mathematics

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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