Different forms for nonlinear standing waves in deep water

DOI10.1017/S0022112094004416zbMath0815.76015OpenAlexW2078583726MaRDI QIDQ4318527

Michael Stiassnie, Peter J. Bryant

Publication date: 10 July 1995

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112094004416

zbMATH Keywords

stabilityZakharov's equationsfundamental harmonicweak nonlinear interactionsirrotational two-dimensional solutionsresonating harmonics

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (6)

Water waves in a deep square basin ⋮ MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK I: A SINGLE-DOMINANT MODEL ⋮ Spatially quasi-periodic water waves of infinite depth ⋮ Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base tank with a finite fluid depth ⋮ Harmonic stability of standing water waves ⋮ Quasi-periodic travelling gravity–capillary waves

Cites Work

• High-order formulation of the water-wave problem
• A note on numerical computations of large amplitude standing waves
• On modifications of the Zakharov equation for surface gravity waves
• Doubly periodic progressive permanent waves in deep water
• A semi-analytic solution for nonlinear standing waves in deep water
• Steep standing waves at a fluid interface
• Standing waves in deep water: Their stability and extreme form

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