The Benjamin-Feir instability of a deep-water Stokes wavepacket in the presence of a non-uniform medium

DOI10.1017/S0022112087000697zbMath0632.76059OpenAlexW2142907586MaRDI QIDQ3770179

Marius Gerber

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0022112087000697

zbMATH Keywords

nonlinear Schrödinger equationdispersion relationcubic Schrödinger equationenergy equationBenjamin-Feir instabilityaveraged Lagrangian techniquenon-uniform meidumweakly nonlinear deep- water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Schrödinger operator, Schrödinger equation (35J10) Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99)

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Cites Work

• On the development of packets of surface gravity waves moving over an uneven bottom
• A note on group velocity
• The changes in amplitude of short gravity waves on steady non-uniform currents
• Effects of slowly varying depth and current on the evolution of a Stokes wavepacket
• On a fourth-order envelope equation for deep-water waves
• Wave interactions - the evolution of an idea
• Nonlinear deep water waves: Theory and experiment
• Giant waves
• The disintegration of wave trains on deep water Part 1. Theory
• A variational principle for a fluid with a free surface

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