Group properties of the extended Green-Naghdi equations

DOI10.1016/j.aml.2018.01.011zbMath1394.35020OpenAlexW2794068849MaRDI QIDQ1749456

Piyanuch Siriwat, Sergey V. Meleshko

Publication date: 16 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.01.011

zbMATH Keywords

exact solutioninvariant solutionLie group classificationEulerian and Lagrangian coordinates

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items

The symmetry analysis and analytical studies of the rotational GreenNaghdi (R-GN) equation

Cites Work

• On the Galerkin/finite-element method for the Serre equations
• Hamiltonian formulation of the extended Green-Naghdi equations
• A derivation of equations for wave propagation in water of variable depth
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• Invariant and Partially Invariant Solutions of the Green-Naghdi Equations
• Unsteady undular bores in fully nonlinear shallow-water theory
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