Steady transcritical flow over a hole: Parametric map of solutions of the forced Korteweg–de Vries equation

DOI10.1063/1.3430607zbMath1190.76034OpenAlexW1973447641MaRDI QIDQ3578587

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Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1063/1.3430607

zbMATH Keywords

Korteweg-de Vries equationexternal flowsstratified flow

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (9)

A new nonlinear wave equation: Darboux transformation and soliton solutions ⋮ TRANSCRITICAL FLOW PAST AN OBSTACLE ⋮ Trapped supercritical waves for the forced KdV equation with two bumps ⋮ Transcritical flow over two obstacles: forced Korteweg–de Vries framework ⋮ Trapped solitary-wave interaction for Euler equations with low-pressure region ⋮ Critical control in transcritical shallow-water flow over two obstacles ⋮ On the critical free-surface flow over localised topography ⋮ Nonautonomous analysis of steady Korteweg–de Vries waves under nonlocalised forcing ⋮ Steady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg–de Vries equation

Cites Work

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• Weakly dispersive hydraulic flows in a contraction: Parametric solutions and linear stability
• Resonantly generated internal waves in a contraction
• Trapped waves between submerged obstacles
• Resonant flow of a stratified fluid over topography
• Steady two–layer flows over an obstacle
• On solitary waves forced by underwater moving objects
• Generation of solitary waves by transcritical flow over a step

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