Large-scale modulations of edge waves

DOI10.1017/S002211208300155XzbMath0533.76012MaRDI QIDQ3316793

T. R. Akylas

Publication date: 1983

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

zbMATH Keywords

envelopesenvelope solitonsbeach angleslarge-scale modulations of weakly nonlinear edge wavesresonant interactions with incident wavetrainssteady-state standing subharmonic edge wavestemporal and spatial evolutionuniformly sloping beachunstable to large-scale variationswater-wave formulation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (11)

Subharmonic generation of edge waves by nonuniform incident waves ⋮ Interaction of free Rossby waves with semi-transparent equatorial waveguide. I: Wave triads ⋮ Evolution equations for counterpropagating edge waves ⋮ Energy flux of edge waves travelling along a continental shelf ⋮ The Stability and Nonlinear Evolution of Edge Waves ⋮ Shallow-water edge waves above an inclined bottom slowly varied in along-shore direction. ⋮ Resonant excitation of coastal Kelvin waves by inertia-gravity waves ⋮ Amplitude variations of edge waves on a shelf slowly varying in the alongshore direction ⋮ Parametric excitation of flexural-gravity edge waves in the fluid beneath an elastic ice sheet with a crack ⋮ Resonant excitation of trapped waves by Poincaré waves in the coastal waveguides ⋮ Focusing of edge waves above a sloping beach

Cites Work

• The generation of edge waves by moving pressure distributions
• On the excitation of edge waves on beaches
• Nonlinear effects in edge waves
• The Propagation of Nonlinear Wave Envelopes
• Generation of surf beat by non-linear wave interactions

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