BARAN, Hynek, Petr BLASCHKE, Michal MARVAN and Iosif S. KRASIL'SHCHIK. On symmetries of the GibbonsTsarev equation. Journal of Geometry and Physics. Amsterdam: Elsevier B.V., 2019, vol. 144, October, p. 5480. ISSN 03930440. Available from: https://dx.doi.org/10.1016/j.geomphys.2019.05.011. 
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@article{32700, author = {Baran, Hynek and Blaschke, Petr and Marvan, Michal and Krasil'shchik, Iosif S.}, article_location = {Amsterdam}, article_number = {October}, doi = {http://dx.doi.org/10.1016/j.geomphys.2019.05.011}, keywords = {GibbonsTsarev equation; Differential coverings; Nonlocal symmetries; Nonlocal conservation laws; Witt algebra}, language = {eng}, issn = {03930440}, journal = {Journal of Geometry and Physics}, title = {On symmetries of the GibbonsTsarev equation}, url = {https://www.sciencedirect.com/science/article/pii/S0393044019301032?via%3Dihub}, volume = {144}, year = {2019} }
TY  JOUR ID  32700 AU  Baran, Hynek  Blaschke, Petr  Marvan, Michal  Krasil'shchik, Iosif S. PY  2019 TI  On symmetries of the GibbonsTsarev equation JF  Journal of Geometry and Physics VL  144 IS  October SP  5480 EP  5480 PB  Elsevier B.V. SN  03930440 KW  GibbonsTsarev equation KW  Differential coverings KW  Nonlocal symmetries KW  Nonlocal conservation laws KW  Witt algebra UR  https://www.sciencedirect.com/science/article/pii/S0393044019301032?via%3Dihub L2  https://www.sciencedirect.com/science/article/pii/S0393044019301032?via%3Dihub N2  We study the GibbonsTsarev equation z(yy) + z(x)z(xy)  z(y)z(xx) + 1 = 0 and, using the known Lax pair, we construct infinite series of conservation laws and the algebra of nonlocal symmetries in the covering associated with these conservation laws. We prove that the algebra is isomorphic to the Witt algebra. Finally, we show that the constructed symmetries are unique in the class of polynomial ones. ER 
BARAN, Hynek, Petr BLASCHKE, Michal MARVAN and Iosif S. KRASIL'SHCHIK. On symmetries of the GibbonsTsarev equation. \textit{Journal of Geometry and Physics}. Amsterdam: Elsevier B.V., 2019, vol.~144, October, p.~5480. ISSN~03930440. Available from: https://dx.doi.org/10.1016/j.geomphys.2019.05.011.
