On the interaction of four water-waves

DOI10.1016/j.wavemoti.2004.07.002zbMath1189.76099OpenAlexW2133313977MaRDI QIDQ981568

Lev Shemer, Michael Stiassnie

Publication date: 1 July 2010

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2004.07.002

zbMATH Keywords

kinetic equationwater wavesnonlinear interactions

Mathematics Subject Classification ID

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

Related Items (13)

Applicability of envelope model equations for simulation of narrow-spectrum unidirectional random wave field evolution: Experimental validation ⋮ Resonant interactions of rotational water waves in the equatorial f-plane approximation ⋮ Evolution of statistically inhomogeneous degenerate water wave quartets ⋮ Instability of waves in deep water -- a discrete Hamiltonian approach ⋮ Threshold model on the evolution of Stokes wave side-band instability ⋮ Deterministic and stochastic theory for a resonant triad ⋮ On elementary four-wave interactions in dispersive media ⋮ Resonances for water waves over flows with piecewise constant vorticity ⋮ Nonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic Theory ⋮ Rapid spectral evolution of steep surface wave groups with directional spreading ⋮ Phase-averaged equation for water waves ⋮ Nonlinear dispersion for ocean surface waves ⋮ Stability of bichromatic gravity waves on deep water

Cites Work

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• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• Evolution of a narrow-band spectrum of random surface gravity waves
• Non-linear gravity wave interactions

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