Zeroth‐order conservation laws of two‐dimensional shallow water equations with variable bottom topography

DOI10.1111/sapm.12320zbMath1454.76018arXiv1912.11468OpenAlexW3037259619MaRDI QIDQ5134371

Roman O. Popovych, Alexander Bihlo

Publication date: 16 November 2020

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11468

zbMATH Keywords

Hamiltonian structureequivalence groupLie symmetryequivalence groupoidfurcate splitting method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (4)

Mapping method of group classification ⋮ Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation ⋮ Abelian Lie symmetry algebras of two‐dimensional quasilinear evolution equations ⋮ Lie symmetries of two-dimensional shallow water equations with variable bottom topography

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