Periodic wave patterns of two-dimensional Boussinesq systems

DOI10.1016/j.euromechflu.2005.11.004zbMath1122.76018OpenAlexW1974415923MaRDI QIDQ2498008

Min Chen, Gérard Iooss

Publication date: 4 August 2006

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2005.11.004

zbMATH Keywords

water wavesBoussinesq systemsbifurcation of travelling wavesperiodic two-dimensional pattern

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (8)

Standing lattice wave patterns of a Boussinesq system ⋮ Quintic B-spline collocation method for the numerical solution of the Bona-Smith family of Boussinesq equation type ⋮ The Boussinesq systems on the background of a line solitary wave ⋮ Boussinesq systems of Bona-Smith type on plane domains: theory and numerical analysis ⋮ Some special solutions to the hyperbolic NLS equation ⋮ Asymmetric periodic traveling wave patterns of two-dimensional Boussinesq systems ⋮ Diamond shaped standing wave patterns of a two-dimensional Boussinesq system ⋮ Numerical simulation of three-dimensional nonlinear water waves

Cites Work

• A class of model equations for bi-directional propagation of capillary-gravity waves
• A bifurcation theory for three-dimensional oblique travelling gravity-capillary water waves
• Traveling gravity water waves in two and three dimensions.
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Long wave approximations for water waves
• A spatial dynamics approach to three-dimensional gravity-capillary steady water waves
• Steady three-dimensional water-wave patterns on a finite-depth fluid
• Three-dimensional, nonlinear wave interaction in water of constant depth
• Traveling Two and Three Dimensional Capillary Gravity Water Waves
• Progressive waves with persistent two-dimensional surface patterns in deep water

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