8 citations to https://www.mathnet.ru/rus/pmtf2316
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Alexei Cheviakov, Peng Zhao, CMS/CAIMS Books in Mathematics, 10, Analytical Properties of Nonlinear Partial Differential Equations, 2024, 79
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С. В. Мелешко, П. Сириват, “Групповая классификация двумерных уравнений Грина–Нагди в случае топографии дна, зависящей от времени”, Прикл. мех. техн. физ., 63:6 (2022), 68–81 ; S. V. Meleshko, P. Siriwat, “Group classification of two-dimensional Green–Naghdi equations in the case of time-independent bottom topography”, J. Appl. Mech. Tech. Phys., 63:6 (2022), 972–983
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E. I. Kaptsov, S. V. Meleshko, N. F. Samatova, “The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws”, Physics of Fluids, 32:12 (2020)
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Piyanuch Siriwat, Sergey V. Meleshko, “Group properties of the extended Green–Naghdi equations”, Applied Mathematics Letters, 81 (2018), 1
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Piyanuch Siriwat, Chompit Kaewmanee, Sergey V. Meleshko, “Symmetries of the hyperbolic shallow water equations and the Green–Naghdi model in Lagrangian coordinates”, International Journal of Non-Linear Mechanics, 86 (2016), 185
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A. Hematulin, P. Siriwat, “Invariant solutions of the special model of fluids with internal inertia”, Communications in Nonlinear Science and Numerical Simulation, 14:5 (2009), 2111
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P. Voraka, S. V. Meleshko, “Group classification of one-dimensional equations of fluids with internal energy depending on the density and the gradient of the density”, Continuum Mech. Thermodyn., 20:7 (2009), 397
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Apichai Hematulin, Sergey V. Meleshko, Sergey L. Gavrilyuk, “Group classification of one‐dimensional equations of fluids with internal inertia”, Math Methods in App Sciences, 30:16 (2007), 2101