Asymptotically exact Zakharov equations and the stability of water waves with bimodal spectra

DOI10.1016/0167-2789(94)00210-HzbMath0899.76078OpenAlexW1981001186MaRDI QIDQ1345708

Publication date: 9 March 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00210-h

zbMATH Keywords

weakly nonlinear evolution closure assumption counterpropagating wavetrains long and finite wavelength perturbation

Mathematics Subject Classification ID

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

Cites Work

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Fourth order evolution equations and stability analysis for Stokes waves on arbitrary water depth
Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
Coupled nonlocal complex Ginzburg-Landau equations in gasless combustion
On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
On modifications of the Zakharov equation for surface gravity waves
Resonantly Interacting Weakly Nonlinear Hyperbolic Waves. I. A Single Space Variable
A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation
Resonantly Interacting, Weakly Nonlinear Hyperbolic Waves. II. Several Space Variables
Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
Stability of weakly nonlinear deep-water waves in two and three dimensions
Instabilities of finite-amplitude water waves
Instabilities of finite-amplitude gravity waves on water of finite depth
The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
Standing waves in deep water: Their stability and extreme form
The Ginzburg–Landau equation for interfacial instabilities
On two-dimensional packets of capillary-gravity waves
On three-dimensional packets of surface waves
On the modulational stability of traveling and standing water waves
The disintegration of wave trains on deep water Part 1. Theory
On Wilton's ripples: a special case of resonant interactions
Wave Instabilities
Amplitude equations for travelling wave convection

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