Edge waves along a sloping beach

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

10.1088/0305-4470/34/45/311

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.

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