KRASILSHCHIK, Iosif Semjonovich a Petr VOJČÁK. On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation. Journal of Geometry and Physics. Amsterdam: Elsevier B.V., 2021, roč. 163, may, s. "104122-1"-"104122-12", 12 s. ISSN 0393-0440. Dostupné z: https://dx.doi.org/10.1016/j.geomphys.2021.104122. |
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@article{54483, author = {Krasilshchik, Iosif Semjonovich and Vojčák, Petr}, article_location = {Amsterdam}, article_number = {may}, doi = {http://dx.doi.org/10.1016/j.geomphys.2021.104122}, keywords = {4D Martinez Alonso-Shabat equation; Universal hierarchy equation; Lax pairs; Differential coverings; Nonlocal symmetries}, language = {eng}, issn = {0393-0440}, journal = {Journal of Geometry and Physics}, title = {On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation}, url = {https://www.sciencedirect.com/science/article/pii/S0393044021000139}, volume = {163}, year = {2021} }
TY - JOUR ID - 54483 AU - Krasilshchik, Iosif Semjonovich - Vojčák, Petr PY - 2021 TI - On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation JF - Journal of Geometry and Physics VL - 163 IS - may SP - "104122-1"-"104122-12" EP - "104122-1"-"104122-12" PB - Elsevier B.V. SN - 03930440 KW - 4D Martinez Alonso-Shabat equation KW - Universal hierarchy equation KW - Lax pairs KW - Differential coverings KW - Nonlocal symmetries UR - https://www.sciencedirect.com/science/article/pii/S0393044021000139 N2 - 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. ER -
KRASILSHCHIK, Iosif Semjonovich a Petr VOJČÁK. On the algebra of nonlocal symmetries for the 4D Martínez Alonso-Shabat equation. \textit{Journal of Geometry and Physics}. Amsterdam: Elsevier B.V., 2021, roč.~163, may, s.~''104122-1''-''104122-12'', 12 s. ISSN~0393-0440. Dostupné z: https://dx.doi.org/10.1016/j.geomphys.2021.104122.
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