Focusing of edge waves above a sloping beach. (English) Zbl 1012.76015
Summary: The mechanism of spatial-temporal focusing (dispersion enhancement) of edge waves in the shelf zone is studied in the framework of linear shallow water theory. The multi-modal Stokes edge waves are considered as an example of shallow waves propagting in a coastal zone above uniformly sloping plane beach. We also suggest a method to find the localized anomalous high wave generated in the process of the focusing of the wave packet. The characteristics of wave trains evolving into the anomalous large wave are discussed.
MSC:
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
Keywords:
spatial-temporal focusing; linear shallow water theory; multi-modal Stokes edge waves; coastal zone; anomalous wave; wave packet focusingReferences:
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