VOJČÁK, Petr, Oleg I. MOROZOV and Iosif S. KRASIL'SHCHIK. Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation. Journal of Geometry and Physics. Amsterdam: Elsevier B.V., 2019, vol. 146, December, p. "103519-1"-"103519-11", 11 pp. ISSN 0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2019.103519. |
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@article{32743, author = {Vojčák, Petr and Morozov, Oleg I. and Krasil'shchik, Iosif S.}, article_location = {Amsterdam}, article_number = {December}, doi = {http://dx.doi.org/10.1016/j.geomphys.2019.103519}, keywords = {Veronese web equation; Differential coverings; Lax pairs; Nonlocal symmetries; Recursion operators; Master symmetries}, language = {eng}, issn = {0393-0440}, journal = {Journal of Geometry and Physics}, title = {Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation}, url = {https://www.sciencedirect.com/science/article/pii/S0393044019302013?via%3Dihub}, volume = {146}, year = {2019} }
TY - JOUR ID - 32743 AU - Vojčák, Petr - Morozov, Oleg I. - Krasil'shchik, Iosif S. PY - 2019 TI - Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation JF - Journal of Geometry and Physics VL - 146 IS - December SP - "103519-1"-"103519-11" EP - "103519-1"-"103519-11" PB - Elsevier B.V. SN - 03930440 KW - Veronese web equation KW - Differential coverings KW - Lax pairs KW - Nonlocal symmetries KW - Recursion operators KW - Master symmetries UR - https://www.sciencedirect.com/science/article/pii/S0393044019302013?via%3Dihub L2 - https://www.sciencedirect.com/science/article/pii/S0393044019302013?via%3Dihub N2 - 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. ER -
VOJČÁK, Petr, Oleg I. MOROZOV and Iosif S. KRASIL'SHCHIK. Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation. \textit{Journal of Geometry and Physics}. Amsterdam: Elsevier B.V., 2019, vol.~146, December, p.~''103519-1''-''103519-11'', 11 pp. ISSN~0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2019.103519.
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