The reflection of a solitary wave by a vertical wall

DOI10.1017/S0022112088003349zbMath0656.76014OpenAlexW1973386106MaRDI QIDQ3804335

J. G. B. Byatt-Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0022112088003349

zbMATH Keywords

Boussinesq equationhead-on collisionequal solitary waves

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (11)

Bottom pressure distribution under a solitonic wave reflecting on a vertical wall ⋮ Numerical solution of the `classical' Boussinesq system ⋮ A Boussinesq system for two-way propagation of nonlinear dispersive waves ⋮ Formation dynamics of sand bedforms under solitons and bound states of solitons in a wave flume used in resonant mode ⋮ Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space ⋮ Evolution of near-soliton initial conditions in nonlinear wave equations through their Bäcklund transforms ⋮ Solitary water wave interactions ⋮ Spatiotemporal properties of solitons excited on the surface of shallow water in a hydrodynamic resonator ⋮ Weak oblique collisions of interfacial solitary waves ⋮ Contact line dynamics and boundary layer flow during reflection of a solitary wave ⋮ Numerical analysis of the transformation of a solitary wave reflected by a vertical wall

Cites Work

• Unnamed Item
• The spectrum of Hill's equation
• A Fourier method for solving nonlinear water-wave problems: application to solitary-wave interactions
• The superharmonic instability of finite-amplitude water waves
• The stability of solitary waves
• The Superharmonic Instability of Finite-Amplitude Surface Waves on Water of Finite Depth
• The stability of steep gravity waves. Part 2
• On head-on collisions between two solitary waves
• Collisions between two solitary waves. Part 2. A numerical study
• Obliquely interacting solitary waves
• The solitary wave in water of variable depth. Part 2
• An integral equation for unsteady surface waves and a comment on the Boussinesq equation
• A ninth-order solution for the solitary wave

This page was built for publication: The reflection of a solitary wave by a vertical wall