Evolution equation for short surface waves on water of finite depth

DOI10.1016/j.physd.2009.06.015zbMath1173.76308OpenAlexW1971963882MaRDI QIDQ842997

M. A. Manna, Roberto A. Kraenkel, William Artiles

Publication date: 28 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.physd.2009.06.015

zbMATH Keywords

conformal mappingStokes waveswater-wavesdeep-water asymptotics

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stokes and related (Oseen, etc.) flows (76D07) Conformal mappings of special domains (30C20) Waves for incompressible viscous fluids (76D33)

Cites Work

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• Numerical simulation of gravity waves
• Nonlinear wave focusing on water of finite depth
• Sur les ondes de surface de l'eau avec une justification mathématique des équations des ondes en eau peu profonde
• Physical mechanisms of the rogue wave phenomenon.
• Toward an integrable model of deep water
• Freak waves as nonlinear stage of Stokes wave modulation instability
• Theory of small aspect ratio waves in deep water
• Modeling extreme waves based on equations of potential flow with a free surface
• A Numerical Study of the Exact Evolution Equations for Surface Waves in Water of Finite Depth
• A Terrain-Following Boussinesq System
• Nonlinear evolutions of surface gravity waves on fluid of finite depth
• Asymptotic Integrability of Water Waves
• Improved Boussinesq-type equations for highly variable depth
• An integral equation for unsteady surface waves and a comment on the Boussinesq equation

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