Steady capillary-gravity waves on the interface of a two-layer fluid over an obstruction-forced modified KdV equation

DOI10.1007/BF00058436zbMath0804.76023MaRDI QIDQ1329827

V. Pereyra

Publication date: 18 January 1995

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

unified asymptotic method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55) Reaction effects in flows (76V05)

Related Items (6)

Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid -- forced modified KdV equation ⋮ On the atmospheric interfacial waves ⋮ Two-layer hydraulic falls over an obstacle ⋮ Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction—Forced extended KdV equation ⋮ A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation ⋮ Supercritical surface gravity waves generated by a positive forcing

Cites Work

• Unnamed Item
• A model equation for steady surface waves over a bump
• Critical free-surfaces flow over a semi-circular obstruction
• Steady flows of inviscid fluids under localized perturbations
• Exact theory of secondary supercritical solutions for steady surface waves over a bump
• Free-surface flow over a semicircular obstruction
• Free-surface flow over an obstruction in a channel
• Forced solitary waves and hydraulic falls in two-layer flows

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