VOJČÁK, Petr. Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation. Communications in Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., 2023, roč. 118, april, s. "107007-1"-"107007-11", 11 s. ISSN 1007-5704. Dostupné z: https://dx.doi.org/10.1016/j.cnsns.2022.107007. |
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@article{78285, author = {Vojčák, Petr}, article_location = {Amsterdam}, article_number = {april}, doi = {http://dx.doi.org/10.1016/j.cnsns.2022.107007}, keywords = {4D Martínez Alonso–Shabat equation; Lax pairs; Nonlocal symmetries; Recursion operators}, language = {eng}, issn = {1007-5704}, journal = {Communications in Nonlinear Science and Numerical Simulation}, title = {Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation}, url = {https://www.sciencedirect.com/science/article/pii/S1007570422004944}, volume = {118}, year = {2023} }
TY - JOUR ID - 78285 AU - Vojčák, Petr PY - 2023 TI - Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation JF - Communications in Nonlinear Science and Numerical Simulation VL - 118 IS - april SP - "107007-1"-"107007-11" EP - "107007-1"-"107007-11" PB - Elsevier B.V. SN - 10075704 KW - 4D Martínez Alonso–Shabat equation KW - Lax pairs KW - Nonlocal symmetries KW - Recursion operators UR - https://www.sciencedirect.com/science/article/pii/S1007570422004944 N2 - We present new recursion operators for (shadows of nonlocal) symmetries of the 4D Martínez Alonso-Shabat equation uty = uzuxy - uyuxz, and we show that their actions can produce new symmetries which are not contained in the Lie algebra of nonlocal symmetries presented in Krasil'shchik and Vojčák (2021). To this end, we construct a non-Abelian covering of the equation in question using the Lax pair with two non-removable parameters. ER -
VOJČÁK, Petr. Non-Abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation. \textit{Communications in Nonlinear Science and Numerical Simulation}. Amsterdam: Elsevier B.V., 2023, roč.~118, april, s.~''107007-1''-''107007-11'', 11 s. ISSN~1007-5704. Dostupné z: https://dx.doi.org/10.1016/j.cnsns.2022.107007.
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