Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves
From MaRDI portal
Publication:6114841
DOI10.1007/s42286-023-00074-yzbMath1518.76007arXiv2203.14848MaRDI QIDQ6114841
Erik Wahlén, Tien Truong, Mariana Haragus
Publication date: 12 July 2023
Published in: Water Waves (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.14848
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Hydrodynamic stability (76E99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A dimension-breaking phenomenon for water waves with weak surface tension
- A spatial dynamics theory for doubly periodic travelling gravity-capillary surface waves on water of infinite depth
- Transverse dynamics of two-dimensional gravity-capillary periodic water waves
- Stability of periodic gravity waves in the presence of surface tension
- A simple criterion for transverse linear instability of nonlinear waves
- Transverse instability of the line solitary water-waves
- Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
- Transverse instability of periodic and generalized solitary waves for a fifth-order KP model
- Modulational instability in the Whitham equation with surface tension and vorticity
- Instability of capillary-gravity waves in water of arbitrary uniform depth
- Nonlinear stability of resonant capillary-gravity waves
- A bifurcation theory for three-dimensional oblique travelling gravity-capillary water waves
- A proof of the Benjamin-Feir instability
- On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation
- Transverse linear stability of line periodic traveling waves for water-wave models
- Full description of Benjamin-Feir instability of Stokes waves in deep water
- The instability of Wilton ripples
- Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators
- Evolution equations and stability results for finite-depth Wilton ripples
- Transverse instability of gravity-capillary line solitary water waves
- On the evolution of packets of water waves
- Transverse Spectral Stability of Small Periodic Traveling Waves for the KP Equation
- Group velocity and nonlinear dispersive wave propagation
- Three-dimensional instabilities of nonlinear gravity-capillary waves
- On two-dimensional packets of capillary-gravity waves
- Reversible Diffeomorphisms and Flows
- Traveling Two and Three Dimensional Capillary Gravity Water Waves
- Modulational instability in the full-dispersion Camassa–Holm equation
- Steady Water Waves
- On three-dimensional packets of surface waves
- A dimension–breaking phenomenon in the theory of steady gravity–capillary water waves
- On the transverse linear instability of solitary water waves with large surface tension
- Transverse instability for periodic waves of KP-I and Schroedinger equations
- Modulational instability in a full‐dispersion shallow water model
- Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili Equation
- Three‐dimensional travelling gravity‐capillary water waves
- The disintegration of wave trains on deep water Part 1. Theory
- Non-linear dispersion of water waves
- On Wilton's ripples: a special case of resonant interactions
- On the rippling of small waves: a harmonic nonlinear nearly resonant interaction
- An existence theory for three-dimensional periodic travelling gravity-capillary water waves with bounded transverse profiles
- Proof of Modulational Instability of Stokes Waves in Deep Water
This page was built for publication: Transverse dynamics of two-dimensional traveling periodic gravity-capillary water waves