A parabolic equation for the combined refraction–diffraction of Stokes waves by mildly varying topography

DOI10.1017/S0022112083002232zbMath0563.76020MaRDI QIDQ3677341

James T. Kirby, Robert A. Dalrymple

Publication date: 1983

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

parabolic equationcausticslinear mild slope equationmultiple- scale perturbation methodrefraction-diffraction of Stokes waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

• Bremmer series that correct parabolic approximations
• Forward Scattering by Long Thin Bodies
• Parabolic approximations for underwater sound propagation
• The disintegration of wave trains on deep water Part 1. Theory