On the stability of weakly-nonlinear gravity-capillary waves

DOI10.1016/0165-2125(86)90029-6zbMath0625.76049OpenAlexW2146404577MaRDI QIDQ580093

W. K. Melville, Jun Zhang

Publication date: 1986

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(86)90029-6

zbMATH Keywords

linear stabilityunstable modesdeep-water gravity- capillary waveseigenvalue systemquartet interactionstwo-dimensional gravity-wave trainsweakly-nonlinear gravity-capillary waves

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

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A MODIFICATION TO THE SCHRÖDINGER EQUATION FOR BROADER BANDWIDTH GRAVITY-CAPILLARY WAVES ON DEEP WATER WITH DEPTH-UNIFORM CURRENT ⋮ FIFTH-ORDER EVOLUTION EQUATION OF GRAVITY–CAPILLARY WAVES ⋮ Stability of periodic gravity waves in the presence of surface tension ⋮ On the stability of weakly-nonlinear gravity-capillary waves ⋮ A nonlinear Schrödinger equation for gravity–capillary water waves on arbitrary depth with constant vorticity. Part 1

Cites Work

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