On the changes in phase speed of one train of water waves in the presence of another

DOI10.1017/S0022112088001806zbMath0647.76008OpenAlexW2151402535MaRDI QIDQ3792382

Michael Stiassnie, Idith Gruman, S. John Hogan

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0022112088001806

zbMATH Keywords

phase speedtrain of water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Related Items (10)

Fourth-order nonlinear evolution equations for a capillary-gravity wave packet in the presence of another wave packet in deep water ⋮ On elementary four-wave interactions in dispersive media ⋮ FIFTH-ORDER EVOLUTION EQUATION OF GRAVITY–CAPILLARY WAVES ⋮ Phase velocity effects of the wave interaction with exponentially sheared current ⋮ On Zakharov's kernel and the interaction of non-collinear wavetrains in finite water depth ⋮ Nonlinear dispersion for ocean surface waves ⋮ Fractal dimensions of random water surfaces ⋮ Nonlinear phase-resolved reconstruction of irregular water waves ⋮ Stability of bichromatic gravity waves on deep water ⋮ Deterministic wave forecasting with the Zakharov equation

Cites Work

• Resonant interactions between two trains of gravity waves
• Phase velocity effects in tertiary wave interactions
• On modifications of the Zakharov equation for surface gravity waves
• The potential form of the fourth-order evolution equation for deep-water gravity–capillary waves
• Stability of weakly nonlinear deep-water waves in two and three dimensions
• Energy transport in a nonlinear and inhomogeneous random gravity wave field
• On nonlinear interactions in a spectrum of inviscid gravity–capillary surface waves
• Resonant interactions among capillary-gravity waves

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