Long-time evolution and regions of existence of parametrically excited nonlinear cross-waves in a tank

DOI10.1017/S0022112089003095zbMath0681.76018MaRDI QIDQ4730903

E. Kit, Lev Shemer

Publication date: 1989

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

zbMATH Keywords

nonlinear Schrödinger equationcut-off frequencyscaling procedurewavemaker boundary conditionexistence of cross-wavesparametrically excited nonlinear cross-wavessteepness of cross-waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

Related Items (2)

Lagrangian motion of fluid particles induced by three-dimensional standing surface waves ⋮ Gravity–capillary multi-component wave patterns generated by a single-frequency wave-maker oscillation and subsequent resonances

Cites Work

• Parametrically excited solitary waves
• The generation of cross-waves in a long deep channel by parametric resonance
• Note on a parametrically excited, trapped cross-wave
• The damping of capillary–gravity waves at a rigid boundary
• Experimental and theoretical investigation of nonlinear sloshing waves in a rectangular channel
• Parametrically excited, progressive cross-waves
• On the neutral stability of cross-waves
• Nonlinear waves near a cut-off frequency in an acoustic duct – a numerical study
• On cross-waves
• The damping of surface gravity waves in a bounded liquid
• Cross-waves. Part 1. Theory

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