Edge waves along a sloping beach
arXiv:physics/0106086 · doi:10.1088/0305-4470/34/45/311
Abstract
We construct a family of explicit rotational solutions to the nonlinear governing equations for water waves, describing edge waves propagating over a plane-sloping beach. A detailed analysis of the edge wave dynamics and of the run-up pattern is made possible by the use of the Lagrangian approach to the water motion. A graphical representation of the edge wave is also presented.
Cited by in corpus (13)
- Instability of equatorial water waves with an underlying current
- Symmetry and decay of traveling wave solutions to the Whitham equation
- Particle trajectories in linearized irrotational shallow water flows
- Mean flow velocities and mass transport for Equatorially-trapped water waves with an underlying current
- On periodic water waves with Coriolis effects and isobaric streamlines
- An existence theory for small-amplitude doubly periodic water waves with vorticity
- Symmetric doubly periodic gravity-capillary waves with small vorticity
- An explicit solution for deep water waves with Coriolis effects
- Explicit solutions to the 3D incompressible Euler equations in Lagrangian formulation
- An exact solution for geophysical trapped waves in the presence of an underlying current
- On particle trajectories in linear deep-water waves
- Linear water waves with vorticity: rotational features and particle paths
- On the particle motion in geophysical deep water waves traveling over uniform currents