Modulational instabilities of periodic traveling waves in deep water
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Publication:2356868
DOI10.1016/j.physd.2015.02.005zbMath1364.76025OpenAlexW1965628188MaRDI QIDQ2356868
Publication date: 7 June 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2015.02.005
Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22)
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Cites Work
- The generation of capillary-gravity solitary waves by a surface pressure forcing
- Stability of periodic gravity waves in the presence of surface tension
- The spectrum of finite depth water waves
- Spectral stability of traveling water waves: eigenvalue collision, singularities, and direct numerical simulation
- Computing spectra of linear operators using the Floquet-Fourier-Hill method
- Stability of periodic solutions of conservation laws with viscosity: analysis of the Evans function
- A proof of the Benjamin-Feir instability
- Stable, high-order computation of traveling water waves in three dimensions
- Spectral stability of traveling water waves: analytic dependence of the spectrum
- The instability of periodic surface gravity waves
- Spectral Stability of Deep Two-Dimensional Gravity Water Waves: Repeated Eigenvalues
- Properties of short-crested waves in water of finite depth
- Highly nonlinear short-crested water waves
- Linear stability of finite-amplitude capillary waves on water of infinite depth
- Spectral data for travelling water waves: singularities and stability
- On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
- On modifications of the Zakharov equation for surface gravity waves
- A stability analysis for interfacial waves using a Zakharov equation
- Model Equations for Gravity-Capillary Waves in Deep Water
- The calculation of nonlinear short-crested gravity waves
- The fourth-order evolution equation for deep-water gravity-capillary waves
- Stability of water waves
- Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
- Instabilities of finite-amplitude gravity waves on water of finite depth
- The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
- The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
- On two-dimensional packets of capillary-gravity waves
- On three-dimensional packets of surface waves
- Computer extension and analytic continuation of Stokes’ expansion for gravity waves
- Spectral Stability of Deep Two‐Dimensional Gravity‐Capillary Water Waves
- Modulational Instability and Variational Structure
- Modulational Instability in the Whitham Equation for Water Waves
- Traveling Waves in Deep Water with Gravity and Surface Tension
- Dynamics of Three-Dimensional Gravity-Capillary Solitary Waves in Deep Water
- On analyticity of travelling water waves
- Boundary Perturbation Methods for Water Waves
- Three-dimensional instabilities of periodic gravity waves in shallow water
- The disintegration of wave trains on deep water Part 1. Theory
- Resonant gravity-wave interactions in a shear flow
- Wave Instabilities
- Nonlinear three-dimensional gravity–capillary solitary waves
- Non-linear gravity wave interactions
