Nonlinear ripples of Kelvin–Helmholtz type which arise from an interfacial mode interaction

DOI10.1017/S0022112097005624zbMath0890.76014OpenAlexW2164872461MaRDI QIDQ4361893

Mark C. W. Jones

Publication date: 28 October 1997

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

Full work available at URL: https://doi.org/10.1017/s0022112097005624

zbMATH Keywords

power series expansionsnonlinear Schrödinger-type equationssmall-amplitude capillary-gravity wavesstability of waves to plane wave perturbations

Mathematics Subject Classification ID

Internal waves for incompressible inviscid fluids (76B55) Hydrodynamic stability (76E99)

Related Items (6)

Group Equivariant Singularity Theory in the Bifurcation of Interfacial Wilton Ripples ⋮ Resonant interfacial capillary-gravity waves in the presence of damping effects ⋮ A singularity in resonant interfacial fluid flow leading to role reversal in the space time continuum of the evolution equations ⋮ Stability of resonant interfacial waves in the presence of uniform magnetic field ⋮ Internal waves caused by the interaction of three harmonics under no restoring forces ⋮ Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves

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