Self-channelling of surface water waves in the presence of an additional surface pressure

DOI10.1016/S0997-7546(99)80045-4zbMath0942.76020MaRDI QIDQ1806531

Andrej Il'ichev

Publication date: 29 November 1999

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

zbMATH Keywords

surface tensionDavey-Stewartson equationsKadomtsev-Petviashvili equationnonlinear instabilityelastic ice-sheetBenjamin-Feir type instabilityhigher-order dispersive effectsice damagelattice of essential wave-guideslong periodic waves

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17) Glaciology (86A40)

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Cites Work

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• Three-dimensional solitary waves in the presence of additional surface effects
• Solitary waves with damped oscillatory tails: An analysis of the fifth- order Korteweg-de Vries equation
• Surface waves of large amplitude beneath an elastic sheet. Part 1. High-order series solution
• Water waves for small surface tension: an approach via normal form
• The solitary wave with surface tension

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