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@article{30482, author = {Holba, Pavel and Vojčák, Petr and Krasil'shchik, Iosif S. and Morozov, Oleg I.}, article_location = {New York}, article_number = {5}, doi = {http://dx.doi.org/10.1134/S1995080218050086}, keywords = {Partial differential equations; Lax integrable equations; symmetry reductions; nonlocal symmetries; universal hierarchy equation; rdDym equation}, language = {eng}, issn = {1995-0802}, journal = {Lobachevskii Journal of Mathematics}, title = {Reductions of the Universal Hierarchy and rdDym Equations and Their Symmetry Properties}, url = {https://link.springer.com/article/10.1134%2FS1995080218050086}, volume = {39}, year = {2018} }
TY - JOUR ID - 30482 AU - Holba, Pavel - Vojčák, Petr - Krasil'shchik, Iosif S. - Morozov, Oleg I. PY - 2018 TI - Reductions of the Universal Hierarchy and rdDym Equations and Their Symmetry Properties JF - Lobachevskii Journal of Mathematics VL - 39 IS - 5 SP - 673-681 EP - 673-681 PB - Pleiades Publishing SN - 19950802 KW - Partial differential equations KW - Lax integrable equations KW - symmetry reductions KW - nonlocal symmetries KW - universal hierarchy equation KW - rdDym equation UR - https://link.springer.com/article/10.1134%2FS1995080218050086 L2 - https://link.springer.com/article/10.1134%2FS1995080218050086 N2 - We consider the equations u_{yy}= u_y u_{xx} - (u_x+ u) u_{xy} + u_x u_y , u_{yy} = (u_x+ x) u_{xy} - (u_{xx} + 2) u_y that arise as reductions of the universal hierarchy and rdDym equations, respectively, and describe the Lie algebras of nonlocal symmetries in the infinite-dimensional coverings naturally associated to these equations. ER -
HOLBA, Pavel, Petr VOJČÁK, Iosif S. KRASIL'SHCHIK a Oleg I. MOROZOV. Reductions of the Universal Hierarchy and rdDym Equations and Their Symmetry Properties. \textit{Lobachevskii Journal of Mathematics}. New York: Pleiades Publishing, roč.~39, č.~5, s.~673-681. ISSN~1995-0802. doi:10.1134/S1995080218050086. 2018.
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