A time–dependent nonlinear mild slope equation for water waves

DOI10.1098/RSPA.1997.0018zbMath0876.76009OpenAlexW1989328797MaRDI QIDQ3128301

Serdar Beji, K. Nadaoka

Publication date: 25 November 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1997.0018

zbMATH Keywords

KdV equationdeep-water limitAiry's nonlinear non-dispersive wave equationsBoussinesq's equationsright-moving coordinate transformationsecond-order Stokes waves

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (4)

Second-order time-dependent mild-slope equation for wave transformation ⋮ A mathematical model for weakly nonlinear water wave propagation ⋮ A note on the use of a new dispersion formula for wave transformation over Roseau's curved beach profile ⋮ Modified shallow water equations for significantly varying seabeds

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