Normal form transformations and Dysthe's equation for the nonlinear modulation of deep-water gravity waves
type: Item
instance of: scholarly article
title: Normal form transformations and Dysthe's equation for the nonlinear modulation of deep-water gravity waves
zbMATH Open document ID: 1481.76043
author: Walter Craig
author: P. Guyenne
author: Catherine Sulem
published in: Water Waves
publication date: 2022-01-03T00:00:00Z
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M22
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 7451744
zbMATH Keywords: deep water gravity wave
zbMATH Keywords: Dirichlet-Neumann operator
zbMATH Keywords: Dysthe equation
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: modulation theory
zbMATH Keywords: normal form
zbMATH Keywords: spectral method simulation
MaRDI profile type: Publication
full work available at URL: s42286-020-00029-7
OpenAlex ID: W3013202749
cites work: On the evolution of packets of water waves
cites work: Q3925229
cites work: Birkhoff normal form for some nonlinear PDEs
cites work: Q5301220
cites work: Q3714455
cites work: Q4718035
cites work: Hamiltonian long-wave approximations to the water-wave problem
cites work: Solitary water wave interactions
cites work: Hamiltonian long‐wave expansions for free surfaces and interfaces
cites work: Hamiltonian long–wave expansions for water waves over a rough bottom
cites work: Water waves over a random bottom
cites work: A Hamiltonian approach to nonlinear modulation of surface water waves
cites work: Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water
cites work: The surface signature of internal waves
cites work: The modulational regime of three-dimensional water waves and the Davey-Stewartson system
cites work: Numerical simulation of gravity waves
cites work: Mapping properties of normal forms transformations for water waves
cites work: Nonlinear modulation of gravity waves: a rigorous approach
cites work: Justification of the nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth
cites work: Super compact equation for water waves
cites work: Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
cites work: Hamiltonian form of the modified nonlinear Schrödinger equation for gravity waves on arbitrary depth
cites work: A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography
cites work: Q2353891
cites work: On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
cites work: A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation
cites work: Stabilizing the Benjamin–Feir instability
cites work: An experimental and numerical study of the spatial evolution of unidirectional nonlinear water-wave groups
cites work: Note on the modified nonlinear Schrödinger equation for deep water waves
cites work: The nonlinear Schrödinger equation. Self-focusing and wave collapse
cites work: A justification of the modulation approximation to the 3D full water wave problem
cites work: A rigorous justification of the modulation approximation to the 2D full water wave problem
cites work: A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water
cites work: On weakly nonlinear modulation of waves on deep water
cites work: Numerical simulation of three-dimensional nonlinear water waves
DOI: 10.1007/S42286-020-00029-7
description: scientific article; zbMATH DE number 7451744