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The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws

https://doi.org/10.1063/5.0031238
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.3193openalex-snapshot
Complete group classification of systems of two linear second‐order ordinary differential equations: the algebraic approach
inferredcites →https://doi.org/10.1007/978-3-540-71256-5openalex-snapshot
Tsunami and Nonlinear Waves
inferredcites →https://doi.org/10.1007/s10808-005-0136-zopenalex-snapshot
Invariant and Partially Invariant Solutions of the Green-Naghdi Equations
inferredcites →https://doi.org/10.1007/s10808-008-0005-7openalex-snapshot
Dispersion and blockage effects in the flow over a sill
inferredcites →https://doi.org/10.1007/s11759-011-9169-5openalex-snapshot
Introduction: Feminist Theories and Archaeology
inferredcites →https://doi.org/10.1016/j.cnsns.2019.03.009openalex-snapshot
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes
inferredcites →https://doi.org/10.1016/j.euromechflu.2011.02.005openalex-snapshot
Recent advances in Serre–Green Naghdi modelling for wave transformation, breaking and runup processes
inferredcites →https://doi.org/10.1016/j.ijnonlinmec.2016.08.005openalex-snapshot
Symmetries of the hyperbolic shallow water equations and the Green–Naghdi model in Lagrangian coordinates
inferredcites →https://doi.org/10.1016/j.ijnonlinmec.2019.03.004openalex-snapshot
Conservation laws of the two-dimensional gas dynamics equations
inferredcites →https://doi.org/10.1016/j.jmaa.2019.123739openalex-snapshot
Enhanced group classification of nonlinear diffusion–reaction equations with gradient-dependent diffusivity
inferredcites →https://doi.org/10.1016/j.physd.2015.03.001openalex-snapshot
Hamiltonian formulation of the extended Green–Naghdi equations
inferredcites →https://doi.org/10.1017/s0022112073000479openalex-snapshot
A note on tsunamis: their generation and propagation in an ocean of uniform depth
inferredcites →https://doi.org/10.1051/lhb/1953034openalex-snapshot
Contribution à l'étude des écoulements permanents et variables dans les canaux
inferredcites →https://doi.org/10.1063/1.1664873openalex-snapshot
Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
inferredcites →https://doi.org/10.1088/1751-8113/44/43/432002openalex-snapshot
Nonlinear self-adjointness and conservation laws
inferredcites →https://doi.org/10.1098/rspa.2016.0127openalex-snapshot
Hamiltonian structure for two-dimensional extended Green–Naghdi equations
inferredcites →https://doi.org/10.1134/s0021894412020010openalex-snapshot
Generalized equivalence transformations and group classification of systems of differential equations
inferredcites →https://doi.org/10.2991/jnmp.k.200922.007openalex-snapshot
Symmetries, Conservation Laws, Invariant Solutions and Difference Schemes of the One-dimensional Green-Naghdi Equations
inferredcites →https://doi.org/10.4208/cicp.oa-2016-0179aopenalex-snapshot
Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space
inferredcites →https://doi.org/10.48550/arxiv.1109.1728openalex-snapshot
Nonlinear self-adjointness in constructing conservation laws

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4693077openalex-extracted
Numerical Treatments of Green-Naghdi Model in Non-Rotating Shallow Fluid Layer
inferred← citeshttps://doi.org/10.2139/ssrn.4821084openalex-extracted
Non-Hydrostatic Shallow Flow Model of Particle Tracking in Basin with Various Bathymetry
inferred← citeshttps://doi.org/10.1016/j.euromechflu.2025.204350openalex-snapshot
Non-hydrostatic shallow flow model of particle tracking in basin with various bathymetry
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2022.104059openalex-snapshot
Conservation laws of the two-dimensional relativistic gas dynamics equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2022.126912openalex-snapshot
Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model
inferred← citeshttps://doi.org/10.1063/5.0057707openalex-snapshot
Balance in non-hydrostatic rotating shallow-water flows
inferred← citeshttps://doi.org/10.1134/s0021894422060086openalex-snapshot
GROUP CLASSIFICATION OF THE TWO-DIMENSIONAL GREEN–NAGHDI EQUATIONS WITH A TIME-DEPENDENT BOTTOM TOPOGRAPHY
inferred← citeshttps://doi.org/10.2139/ssrn.5759448openalex-snapshot
Impacts of effective stress on predictions of non-hydrostatic shallow flow model in basins with different bathymetry
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