Uni-directional waves over slowly varying bottom. I: Derivation of a KdV- type of equation

DOI10.1016/0165-2125(93)90065-NzbMath0819.76012OpenAlexW1995476239MaRDI QIDQ1329861

S. R. Pudjaprasetya, Embrecht W. C. Van Groesen

Publication date: 27 August 1995

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(93)90065-n

zbMATH Keywords

total energyHamiltonian systemsurface elevationstructure map

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

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• On the development of packets of surface gravity waves moving over an uneven bottom
• Decomposition of the Boussinesq equations for shallow-water waves into a set of coupled Korteweg–de Vries equations
• On the hamiltonian theory of surface waves
• Stable model equations for long water waves
• On the Korteweg—de Vries equation for a gradually varying channel
• Resonant flow of a stratified fluid over topography