Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves
DOI10.1137/21M1432788zbMath1490.76037arXiv2108.10822OpenAlexW4220716100WikidataQ114074007 ScholiaQ114074007MaRDI QIDQ5865244
Adilbek Kairzhan, Philippe Guyenne, Catherine Sulem
Publication date: 13 June 2022
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.10822
Hamiltonian systemsnumerical simulationsnormal form transformationsDysthe equationmodulational analysisthree-dimensional deep-water waves
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)
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- Mapping properties of normal forms transformations for water waves
- Fourth order evolution equations and stability analysis for Stokes waves on arbitrary water depth
- A Hamiltonian approach to nonlinear modulation of surface water waves
- Numerical simulation of gravity waves
- Numerical simulation of three-dimensional nonlinear water waves
- Slow evolution of nonlinear deep water waves in two horizontal directions: A numerical study
- On the nonlinear Dysthe equation
- Normal form transformations and Dysthe's equation for the nonlinear modulation of deep-water gravity waves
- Numerical simulations of modulated waves in a higher-order Dysthe equation
- The water wave problem and Hamiltonian transformation theory
- Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\)
- Hamiltonian form of the modified nonlinear Schrödinger equation for gravity waves on arbitrary depth
- Frequency downshift in narrowbanded surface waves under the influence of wind
- On weakly nonlinear modulation of waves on deep water
- A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography
- The fourth-order evolution equation for deep-water gravity-capillary waves
- A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation
- Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
- On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
- Hamiltonian long–wave expansions for water waves over a rough bottom
- Hamiltonian long‐wave expansions for free surfaces and interfaces
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