Asymmetric periodic traveling wave patterns of two-dimensional Boussinesq systems

DOI10.1016/J.PHYSD.2008.03.016zbMath1143.76396OpenAlexW2028002608MaRDI QIDQ942723

Min Chen, Gérard Iooss

Publication date: 5 September 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://hal.univ-cotedazur.fr/hal-01265192/file/Chen-IoossNew1.pdf

zbMATH Keywords

Lyapunov-Schmidt methodBoussinesq systemsbifurcation of traveling wavesasymmetric periodic wave patternsthree-dimensional water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (5)

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 ⋮ Some special solutions to the hyperbolic NLS equation ⋮ Diamond shaped standing wave patterns of a two-dimensional Boussinesq system

Cites Work

• Asymmetrical three-dimensional travelling 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
• Periodic wave patterns of two-dimensional Boussinesq systems
• Long wave approximations for water waves

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