Run-Up of a Nonlinear Monochromatic Wave on a Plane Beach in Presence of a Tide


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Abstract—The nonlinear problem of run-up of a long wave on a plane beach in presence of a tide is solved within nonlinear shallow water theory using the Carrier–Greenspan approach. An exact solution to the nonlinear problem for the wave run-up height is found as a function of the incident wave amplitude. The influence of the tide on the characteristics of wave run-up on a beach is studied.

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I. Didenkulova

Department of Marine Systems, Tallinn University of Technology; Nizhny Novgorod State Technical University n.a. R.E. Alekseev

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Email: dii@appl.sci-nnov.ru
爱沙尼亚, Tallinn; Nizhny Novgorod

E. Pelinovsky

Nizhny Novgorod State Technical University n.a. R.E. Alekseev; Institute of Applied Physics, Russian Academy of Sciences; National Research University Higher School of Economics; Special Research Bureau for Automation of Marine Researches

编辑信件的主要联系方式.
Email: pelinovsky@appl.sci-nnov.ru
俄罗斯联邦, Nizhny Novgorod; Nizhny Novgorod; Moscow; Yuzhno-Sakhalinsk

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