Modulation of three resonating gravity–capillary waves by a long gravity wave
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Publication:4872967
DOI10.1017/S0022112095002540zbMath0844.76011MaRDI QIDQ4872967
Chiang C. Mei, Karsten Trulsen
Publication date: 4 June 1996
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Lagrangian descriptionchaotic behaviourperturbation analysisPoincaré mapbifurcation criterionenvelope equationscollinear Wilton's ripples
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
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Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio ⋮ Chaotic properties of internal wave triad interactions ⋮ Weakly nonlinear theory for oscillating wave surge converters in a channel ⋮ Weakly dissipative Faraday waves in 2D large aspect ratio annuli
Cites Work
- On Wilton ripples. I: Formal derivation of the phenomenon
- Nonlinear stability of resonant capillary-gravity waves
- Exact solutions of non-conservative equations for three-wave and second-harmonic resonance
- Interction of a short-wave field with a dominant long wave in deep water: derivation form Zakharov's spectral formulation
- Steady Gravity-Capillary Waves On Deep Water-1. Weakly Nonlinear Waves
- Bifurcation and ’’strange’’ behavior in instability saturation by nonlinear three-wave mode coupling
- Weakly nonlinear steady gravity-capillary waves
- Three-wave resonant interactions of gravity-capillary waves
- A Perturbation Analysis of an Interaction between Long and Short Surface Waves
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