Spatial Form of a Hamiltonian Dysthe Equation for Deep-Water Gravity Waves

Spatial Form of a Hamiltonian Dysthe Equation for Deep-Water Gravity Waves

An overview of a Hamiltonian framework for the description of nonlinear modulation of surface water waves is presented. The main result is the derivation of a Hamiltonian version of Dysthe’s equation for two-dimensional gravity waves on deep water. The reduced problem is obtained via a Birkhoff norm...

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Bibliographic Details
Main Authors: Philippe Guyenne, Adilbek Kairzhan, Catherine Sulem, Boyang Xu
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Fluids
Subjects:
deep-water gravity waves
Dysthe equation
Hamiltonian systems
modulation theory
numerical simulations
Online Access:https://www.mdpi.com/2311-5521/6/3/103

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