The propagation of short surface waves on longer gravity waves

DOI10.1017/S002211208700096XzbMath0616.76022MaRDI QIDQ4725909

Michael S. Longuet-Higgins

Publication date: 1987

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

zbMATH Keywords

wave propagationlinearized theoryfully nonlinear theorysea surfaceshort gravity wavesfree, irrotational gravity wavesgravity waves of finite amplitudeshort-wave breakingsurface wind-drift currents

Mathematics Subject Classification ID

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

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Cites Work

• Changes in the form of short gravity waves on long waves and tidal currents
• The changes in amplitude of short gravity waves on steady non-uniform currents
• Bifurcation in gravity waves
• The dispersion of short wavelets in the presence of a dominant long wave
• Theory of the almost-highest wave: the inner solution
• Theory of the almost-highest wave. Part 2. Matching and analytic extension