The similarity forms and invariant solutions of two-layer shallow-water equations

DOI10.1016/j.nonrwa.2006.12.010zbMath1209.76009OpenAlexW2004806371MaRDI QIDQ933544

Teoman Özer, Nalan Antar

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.12.010

zbMATH Keywords

symmetry groupssimilarity solutionsgravity currentstwo-layer shallow-water equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items

Conservation laws for one-layer shallow water wave systems ⋮ Lie group analysis of gravity currents ⋮ Invariant solutions and conservation laws of the generalized Kaup–Boussinesq equation ⋮ On analytical solutions of a two-phase mass flow model ⋮ Lie group analysis and dynamical behavior for classical Boussinesq-Burgers system ⋮ Theoretical-group analysis of the inviscid gravity currents ⋮ Lie group analysis of nonlinear inviscid flows with a free surface under gravity

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