The Evolution of Waves Near Direct-Resonance Conditions

DOI10.1002/sapm1982672107zbMath0528.76058OpenAlexW2549921160MaRDI QIDQ3309320

D. J. Benney, T. R. Akylas

Publication date: 1982

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1982672107

zbMATH Keywords

weakly nonlinear wavesbecome fully nonlinear in finite timeclose to direct resonancedisturbance consists of wave packets of definite formlinearized initial value problem as dominant far field signalnonlinear evolution characteristicsresonance phenomena dispersion relation

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Related Items

Direct resonances in Orr-Sommerfeld problems, A model system for strong interaction between internal solitary waves, Weak and Strong Interactions between Internal Solitary Waves, Strong Interactions between Solitary Waves Belonging to Different Wave Modes, Direct spatial resonance in the compressible boundary layer on a rotating-disk, A note on the generation of surface waves by inviscid shear flows, On Nonlinear Kelvin-Helmholtz Waves Near Direct Resonance

Cites Work

• Direct Resonance In Nonlinear Wave Systems
• A New Mechanism For Linear and Nonlinear Hydrodynamic Instability