Normal form transformations and Dysthe's equation for the nonlinear modulation of deep-water gravity waves

DOI10.1007/s42286-020-00029-7zbMath1481.76043OpenAlexW3013202749MaRDI QIDQ2063894

Catherine Sulem, Walter Craig, Philippe Guyenne

Publication date: 3 January 2022

Published in: Water Waves (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42286-020-00029-7

zbMATH Keywords

normal formHamiltonian systemmodulation theoryDirichlet-Neumann operatorDysthe equationdeep water gravity wavespectral method simulation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hamilton's equations (70H05) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items

A Hamiltonian Dysthe equation for deep-water gravity waves with constant vorticity ⋮ The water wave problem and Hamiltonian transformation theory ⋮ Special issue dedicated to Walter Craig ⋮ Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves

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