Upstream-advancing waves generated by three-dimensional moving disturbances

DOI10.1063/1.857769zbMath0696.76023OpenAlexW1991938836MaRDI QIDQ3474365

R. H. J. Grimshaw, Seung Joon Lee

Publication date: 1990

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857769

zbMATH Keywords

unbounded domainbottom topographyforced Kadomtsev-Petviashvili equationlinear wave operatorCurved solitary wavestransverse dispersionUpstream-advancing waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Waves caused by a moving disturbance in a shallow channel of finite width
• Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid
• On the excitation of long nonlinear water waves by a moving pressure distribution. Part 2. Three-dimensional effects
• Three-dimensional wave patterns generated by moving disturbances at transcritical speeds
• Similarity Solutions of Some Two-Space-Dimensional Nonlinear Wave Evolution Equations
• Resonant flow of a stratified fluid over topography
• Model equations for long waves in nonlinear dispersive systems