Stability of weakly nonlinear deep-water waves in two and three dimensions

DOI10.1017/S0022112081003169zbMath0459.76011OpenAlexW2037298226MaRDI QIDQ3910166

Henry C. Yuen, Bruce M. Lake, Donald R. Crawford, Philip G. Saffman

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1017/s0022112081003169

zbMATH Keywords

nonlinear Schrödinger equationZakharov's equationweakly nonlinear deep-water wavesWitham's theory

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydrodynamic stability (76E99)

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Cites Work

• Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
• Stability of a plane soliton to infinitesimal two-dimensional perturbations
• The disintegration of wave trains on deep water Part 1. Theory
• Wave Instabilities
• The propagation of a weak nonlinear wave
• Non-linear gravity wave interactions

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