A new type of three-dimensional deep-water wave of permanent form

DOI10.1017/S0022112080001930zbMath0452.76014MaRDI QIDQ3899694

Henry C. Yuen, Philip G. Saffman

Publication date: 1980

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

zbMATH Keywords

Stokes wavesbifurcatethree-dimensional deep-watertwo- and three-dimensional disturbancesuniform two- dimensional wave train

Mathematics Subject Classification ID

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

Related Items (13)

Doubly periodic progressive permanent waves in deep water ⋮ Thermocapillary stabilization of the capillary breakup of an annular film of liquid ⋮ Instabilities and bifurcations of interfacial water waves ⋮ On elementary four-wave interactions in dispersive media ⋮ A model of water wave ‘horse-shoe’ patterns ⋮ On steady three-dimensional deep water weakly nonlinear gravity waves ⋮ Two-dimensional bifurcations of Stokes waves ⋮ Gravity–capillary multi-component wave patterns generated by a single-frequency wave-maker oscillation and subsequent resonances ⋮ On hexagonal gravity water waves ⋮ On the Badulin, Kharif and Shrira model of resonant water waves ⋮ Three-Dimensional Stability and Bifurcation of Capillary and Gravity Waves on Deep Water ⋮ Nonlinear dynamics of interfacial waves ⋮ On the Bifurcation of a Random Spectrum of Weakly Nonlinear Deep-Water Gravity Waves

Cites Work

• Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
• Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water

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