The nonlinear Benjamin–Feir instability – Hamiltonian dynamics, discrete breathers and steady solutions

DOI10.1017/jfm.2023.96OpenAlexW4322743412MaRDI QIDQ5880855

Publication date: 6 March 2023

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

Full work available at URL: https://arxiv.org/abs/2208.08172

zbMATH Keywords

surface gravity waves

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (2)

Instability of waves in deep water -- a discrete Hamiltonian approach ⋮ On elementary four-wave interactions in dispersive media

Cites Work

Stability of bichromatic gravity waves on deep water
Note on the modified nonlinear Schrödinger equation for deep water waves
Exact first-order solutions of the nonlinear Schrödinger equation
Evolution of a nonlinear wave field along a tank: experiments and numerical simulations based on the spatial Zakharov equation
On the steady-state fully resonant progressive waves in water of finite depth
On the highest non-breaking wave in a group: fully nonlinear water wave breathers versus weakly nonlinear theory
Hamiltonian form of the modified nonlinear Schrödinger equation for gravity waves on arbitrary depth
On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
Phase velocity effects in tertiary wave interactions
On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
An experimental and numerical study of the spatial evolution of unidirectional nonlinear water-wave groups
Nonlinear Dynamics of Deep-Water Gravity Waves
Wave Interactions and Fluid Flows
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
On the subharmonic instabilities of steady three-dimensional deep water waves
On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
Theory and Applications of Ocean Surface Waves
Nonlinear dispersion for ocean surface waves
On three-dimensional packets of surface waves
On two approaches to the problem of instability of short-crested water waves
Super compact equation for water waves
On the steady-state nearly resonant waves
The disintegration of wave trains on deep water Part 1. Theory
Non-linear gravity wave interactions
On the predictability of evolution of surface gravity and gravity-capillary waves

This page was built for publication: The nonlinear Benjamin–Feir instability – Hamiltonian dynamics, discrete breathers and steady solutions