The energy and action of small waves riding on large waves

DOI10.1017/S0022112088001090zbMath0665.76018OpenAlexW2134415175MaRDI QIDQ3817942

Jon Wright, Kristian B. Dysthe, Dennis B. Creamer, Frank S. Henyey, Roy Schult

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0022112088001090

zbMATH Keywords

scale separationgravity-capillary wavesAction conservationaveraged Lagrangian equationscanonical, Hamiltonian formulationdynamics of small wavessmall-wave Hamiltoniantwo-dimensional, large-wave field

Mathematics Subject Classification ID

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

Related Items (17)

Evolution of short gravity waves on long gravity waves ⋮ Evolution of a short surface wave on a very long surface wave of finite amplitude ⋮ Capillary --- gravity wave transport over spatially random drift ⋮ Fourth-order Lagrangian of short waves riding on long waves ⋮ A Perturbation Analysis of an Interaction between Long and Short Surface Waves ⋮ Evolution of weakly nonlinear short waves riding on long gravity waves ⋮ Improved linear representation of surface waves. Part 2. Slowly varying bottoms and currents ⋮ The effects of truncation on surface-wave Hamiltonians ⋮ Two-dimensional modulation and instability of a short wave riding on a finite-amplitude long wave ⋮ On the stability of weakly nonlinear short waves on finite-amplitude long gravity waves ⋮ The blockage of gravity and capillary waves by longer waves and currents ⋮ Blocking dynamics of capillary-gravity waves in a two-layer fluid in the presence of surface and interfacial tensions ⋮ Extreme wave statistics in combined and partitioned windsea and swell ⋮ Improved linear representation of ocean surface waves ⋮ Can swell increase the number of freak waves in a wind sea? ⋮ The distortion of short internal waves produced by a long wave, with application to ocean boundary mixing ⋮ Interaction between a Stokes wave packet and a solitary wave

Cites Work

• Hamiltonian formulations for surface waves
• The dispersion of short wavelets in the presence of a dominant long wave
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
• Two Notes on Phase-Integral Methods

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