On steady three-dimensional deep water weakly nonlinear gravity waves

DOI10.1016/0165-2125(82)90028-2zbMath0487.76030OpenAlexW2039246428MaRDI QIDQ1165712

Yan-Chow Ma

Publication date: 1982

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(82)90028-2

zbMATH Keywords

deep waterbifurcation into three- dimensional wavescorrection to phase speed wavelength and direction of modulationevolution up to third order in wave amplitudefourth-order integral equation due to D. R. Crawfordthree-dimensional steady wave solutionstwo-dimensional steady gravity waveV. E. Zakharov integralwavenumber space

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Hydrodynamic stability (76E99)

Related Items

Doubly periodic progressive permanent waves in deep water, Thermocapillary stabilization of the capillary breakup of an annular film of liquid

Cites Work

• Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
• A new type of three-dimensional deep-water wave of permanent form
• Instabilities of finite-amplitude water waves