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VIDEO LIBRARY |
Dynamics in Siberia - 2019
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Plenary talks
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2D-reductions of the Mikhalev–Pavlov equation and their nonlocal symmetries I. S. Krasil'shchik |
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Abstract: The Mikhalev–Pavlov equation (MPE) reads \begin{equation}\label{eq:1} w_x=\frac{a_2w^2+a_1w+a_0}{w^2+c_1w+c_0},\qquad w_y=\frac{b_2w^2+b_1w+b_0}{w^2+c_1w+c_0} \end{equation} for the reduced equations, where References [1] H. Baran, I.S. Krasil'shchik, O.I. Morozov, P. Vojčá, Integrability properties of some equations obtained by symmetry reductions, J. of Nonlinear Math. Phys., 22, 2015, Issue 2, 210–232, https://doi.org/10.1080/14029251.2015.102358 [2] H. Baran, I.S. Krasil'shchik, O.I. Morozov, P. Vojčá, Nonlocal symmetries of integrable linearly degenerate equations: a comparative study, Theor. and Math. Phys., 196, 2018, Issue 2, 1089–1110, https://doi.org/10.1134/S0040577918080019 [3] H. Baran, I.S. Krasil'shchik, O.I. Morozov, P. Vojčá, Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems, J. of Nonlinear Math. Phys., 21, 2014, Issue 4, 643–671, https://doi.org/10.1080/14029251.2014.975532 [4] P. Holba, I.S. Krasil'shchik, O.I. Morozov, P. Vojčá, Reductions of the universal hierarchy and rddym equations and their symmetry properties, Lobachevskii J. of Math., 39,2018, Issue 5, 673–681, https://doi.org/10.1134/S1995080218050086 Language: English |