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An exact solution for geophysical equatorial edge waves over a sloping beach. (English) Zbl 1339.86001

Summary: We present an explicit solution for the geophysical edge wave problem in the \(f\)-plane approximation. We also discuss in detail the properties of this solution and compare them with those of the solution found in the absence of Coriolis effects.

MSC:

86A05 Hydrology, hydrography, oceanography
35Q86 PDEs in connection with geophysics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction