Group classification of the two-dimensional Green-Naghdi equations with a time-dependent bottom topography

DOI10.1134/S0021894422060086MaRDI QIDQ2694188

Sergey V. Meleshko, Piyanuch Siriwat

Publication date: 28 March 2023

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05790

zbMATH Keywords

Eulerian coordinatesequivalence groupGreen-Naghdi equationsadmitted Lie groupoptimal subalgebra system

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Uses Software

• REDUCE

Cites Work

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