Invariant and Partially Invariant Solutions of the Green-Naghdi Equations

DOI10.1007/s10808-005-0136-zzbMath1102.76004OpenAlexW2009602861MaRDI QIDQ5393671

Yulia Yurievna Bagderina, Alexander P. Chupakhin

Publication date: 24 October 2006

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

Full work available at URL: https://doi.org/10.1007/s10808-005-0136-z

zbMATH Keywords

Painlevé equationGreen-Naghdi equationsinvariant and partially invariant solutions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (7)

Global existence for small data of the viscous Green-Naghdi type equations ⋮ Group classification of one-dimensional equations of fluids with internal energy depending on the density and the gradient of the density ⋮ Group classification of the two-dimensional Green-Naghdi equations with a time-dependent bottom topography ⋮ The symmetry analysis and analytical studies of the rotational GreenNaghdi (R-GN) equation ⋮ Group properties of the extended Green-Naghdi equations ⋮ Equivalence of ordinary differential equations \(y = R(x, y)y^{\prime 2} + 2Q(x, y)y' +P(x, y)\) ⋮ Invariant solutions of the special model of fluids with internal inertia

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