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Topographic effects on nonlinear edge waves
Authors:Nicole Rockliff  Ronald Smith
Institution:1. Department of Mathematics , Statistics and Computing, Plymouth Polytechnic , Drake Circus, Plymouth , PL4 8AA , U.K.;2. Department of Applied Mathematics and Theoretical Physics , University of Cambridge , Silver Street, Cambridge , CB3 9EW , U.K.
Abstract:Abstract

Edge waves are known to give rise to beach cusps. This paper investigates the topographic feed-back upon the waves. For edge waves generated by subharmonic resonance with incident waves, the topography acts to decrease the edge wave response. As well as causing frequency detuning (Guza and Bowen, 1981) the topography can cause the scattering of edge wave energy. For synchronous waves the topographic irregularities have the opposite effect, and there can be a feed of energy into the edge waves by scattering from the incident waves.
Keywords:α ω-dynamos  galactic discs  kinematic dynamos
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