Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction—Forced extended KdV equation

DOI10.1063/1.868793zbMath1082.76511OpenAlexW2032510858MaRDI QIDQ4425501

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Publication date: 1996

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868793

zbMATH Keywords

asymptotic methodforced extended KdV equation

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Internal waves for incompressible inviscid fluids (76B55)

Related Items

Overturned internal capillary-gravity waves ⋮ Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid -- forced modified KdV equation ⋮ Transcritical flow of a stratified fluid: The forced extended Korteweg–de Vries model ⋮ Two-layer hydraulic falls over an obstacle ⋮ On a critical case of internal solitary waves in a two-layer fluid ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation ⋮ INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG–DE VRIES EQUATION ⋮ Steady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg–de Vries equation

Cites Work

• A model equation for steady surface waves over a bump
• Two-layer critical flow over a semi-circular obstruction
• Exact theory of secondary supercritical solutions for steady surface waves over a bump
• Fully non-linear two-layer flow over arbitrary topography
• Steady capillary-gravity waves on the interface of a two-layer fluid over an obstruction-forced modified KdV equation
• Forced solitary waves and hydraulic falls in two-layer flows
• Two-layer flows past a semicircular obstruction
• Interfacial flow over a step

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