Evolution of weakly nonlinear short waves riding on long gravity waves

DOI10.1017/S0022112090000155zbMath0699.76020MaRDI QIDQ3478103

W. K. Melville, Jun Zhang

Publication date: 1990

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

zbMATH Keywords

nonlinear Schrödinger equationfinite-amplitude gravity wavetrainweakly nonlinear short gravity wavetrain

Mathematics Subject Classification ID

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

Related Items (12)

Evolution of short gravity waves on long gravity waves ⋮ Fourth-order Lagrangian of short waves riding on long waves ⋮ A Perturbation Analysis of an Interaction between Long and Short Surface Waves ⋮ Two-dimensional modulation and instability of a short wave riding on a finite-amplitude long wave ⋮ The modulation of short waves riding on solitary waves ⋮ Extreme wave statistics in combined and partitioned windsea and swell ⋮ Short wave phase shifts by large free surface solitary waves: Experiments and models ⋮ How sea ice can affect coastal swells, infragravity waves and leaky wave modes: spectral adaptation from modulation ⋮ Can swell increase the number of freak waves in a wind sea? ⋮ Asymptotic dynamics of monochromatic short surface wind waves ⋮ On high-order perturbation expansion for the study of long–short wave interactions ⋮ Interaction between a Stokes wave packet and a solitary wave

Cites Work

• Changes in the form of short gravity waves on long waves and tidal currents
• The energy and action of small waves riding on large waves
• Some effects of surface tension on steep water waves. Part 2
• Some effects of surface tension on steep water waves. Part 3
• The dispersion of short wavelets in the presence of a dominant long wave
• The propagation of short surface waves on longer gravity waves
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves

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