Amplitude variations of edge waves on a shelf slowly varying in the alongshore direction |
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| Authors: | A A Kurkin E N Pelinovsky O E Poloukhina |
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| Institution: | (1) Nizhni Novgorod State Technical University, ul. Minina 24, Nizhni Novgorod, 603600, Russia;(2) Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhni Novgorod, 603950, Russia |
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| Abstract: | Within the framework of the linear shallow-water theory, the dynamics of edge waves over a shelf characterized by a cylindrical bottom relief is investigated under the assumption that shelf parameters vary slowly in the alongshore direction. An asymptotic theory and an energy approach are used to calculate the amplitude of the edge wave. In the analytic form, the results are obtained for shelves of three different profiles with parameters varying along the shore: an infinite linear profile, a concave exponential profile, and a stepwise profile. |
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