Waves generated by a submerged topography for the Whitham equation

DOI10.1007/s40819-022-01427-wOpenAlexW4296455784MaRDI QIDQ2101327

Marcelo V. Flamarion

Publication date: 5 December 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-022-01427-w

zbMATH Keywords

solitary wavesgravity wavesWhitham equationtrapped waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Ship waves (76B20)

Uses Software

• Matlab

Cites Work

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• Traveling waves for the Whitham equation.
• A study of wave trapping between two obstacles in the forced Korteweg-de Vries equation
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• The cubic vortical Whitham equation
• On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
• Stability of steady gravity waves generated by a moving localised pressure disturbance in water of finite depth
• On the excitation of long nonlinear water waves by a moving pressure distribution
• Generation of upstream advancing solitons by moving disturbances
• Spectral Methods in MATLAB
• On Whitham and Related Equations
• Resonant flow of a stratified fluid over topography
• Modulational instability in a full‐dispersion shallow water model
• Rotational waves generated by current‐topography interaction
• Variational Methods and Applications to Water Waves
• Stability of traveling wave solutions to the Whitham equation

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