A study of wave trapping between two obstacles in the forced Korteweg-de Vries equation

DOI10.1007/s10665-017-9919-5zbMath1456.65133OpenAlexW2736525731MaRDI QIDQ1703635

Hongjoong Kim, Hee-Sun Choi

Publication date: 7 March 2018

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

Full work available at URL: https://doi.org/10.1007/s10665-017-9919-5

zbMATH Keywords

threshold conditionforced Korteweg-de Vries equationtemporarily trapped wavestwo bumps

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (6)

Internal solitary waves over a combined obstacle ⋮ Soliton interactions with an external forcing: the modified Korteweg-de Vries framework ⋮ The wave stability of solitary waves over a bump for the full Euler equations ⋮ Trapped solitary-wave interaction for Euler equations with low-pressure region ⋮ Transcritical flow over obstacles and holes: forced Korteweg–de Vries framework ⋮ Waves generated by a submerged topography for the Whitham equation

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid -- forced modified KdV equation
• Stability of some stationary solutions to the forced KdV equation with one or two bumps
• Stability of hydraulic fall and sub-critical cnoidal waves in water flows over a bump
• Numerical modeling of the low-velocity impact of composite plates using a shell-based SPH method
• Absorbing boundary conditions for the stationary forced KdV equation
• Critical free-surfaces flow over a semi-circular obstruction
• Stability of some stationary solutions for the forced KdV equation
• Generalised critical free-surface flows
• Multiple Supercritical Solitary Wave Solutions of the Stationary Forced Korteweg-de Vries Equation and Their Stability
• Forced Oscillations of a Damped Korteweg-de Vries Equation in a Quarter Plane
• Spectral Methods in MATLAB
• Trapped waves between submerged obstacles
• A Practical Guide to Pseudospectral Methods
• Stability of gravity-capillary waves generated by a moving pressure disturbance in water of finite depth
• Transcritical flow over two obstacles: forced Korteweg–de Vries framework

This page was built for publication: A study of wave trapping between two obstacles in the forced Korteweg-de Vries equation