Super compact equation for water waves

DOI10.1017/jfm.2017.529zbMath1460.76092arXiv1511.09331OpenAlexW2186244403MaRDI QIDQ4972371

D. I. Kachulin, Alexander I. Dyachenko, Vladimir E. Zakharov

Publication date: 25 November 2019

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

Full work available at URL: https://arxiv.org/abs/1511.09331

zbMATH Keywords

wave breakingsurface gravity wavesHamiltonian theory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (7)

The nonlinear Benjamin–Feir instability – Hamiltonian dynamics, discrete breathers and steady solutions ⋮ On coupled envelope evolution equations in the Hamiltonian theory of nonlinear surface gravity waves ⋮ Numerical simulations of modulated waves in a higher-order Dysthe equation ⋮ The water wave problem and Hamiltonian transformation theory ⋮ Crest speeds of unsteady surface water waves ⋮ Normal form transformations and Dysthe's equation for the nonlinear modulation of deep-water gravity waves ⋮ Focusing deep-water surface gravity wave packets: wave breaking criterion in a simplified model

Cites Work

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• Special solutions to a compact equation for deep-water gravity waves
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• On certain properties of the compact Zakharov equation
• Large-time evolution of statistical moments of wind–wave fields
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