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.