The evolution of a weakly nonlinear, weakly damped, capillary-gravity wave packet

DOI10.1017/S0022112088000370zbMath0664.76012OpenAlexW1986041329MaRDI QIDQ3815690

J. W. Miles

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0022112088000370

zbMATH Keywords

surface tensionelliptic integralsmodulational instabilitylinear dispersion relationenvelope-evolution equationnonlinear transfer of energypeak of a gravity-wave spectrumsymmetric normal spectrumweakly nonlinear, damped, capillary-gravity wave packet

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (3)

Surfactant Influence on Water Wave Packets ⋮ Instability and disturbance amplification in a mixed-convection boundary layer ⋮ Resonant capillary–gravity interfacial waves

Cites Work

• On the evolution of packets of water waves
• On two-dimensional packets of capillary-gravity waves
• The propagation of a weak nonlinear wave

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