NHESS Natural Hazards and Earth System Sciences NHESS Nat. Hazards Earth Syst. Sci. 1684-9981 Copernicus Publications Göttingen, Germany 10.5194/nhess-1-243-2001 Nonlinear mechanism of tsunami wave generation by atmospheric disturbances Pelinovsky E. 1 2 Talipova T. 1 Kurkin A. 2 Kharif C. 3 Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics, Russian Academy of Science, Nizhny Novgorod, Russia Department of Applied Mathematics, Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia Ecole Supérieure de Mécanique, Université de la Méditerranée, Marseilles, France 31 12 2001 1 4 243 250 Copyright: © 2001 E. Pelinovsky et al. 2001 This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic License. To view a copy of this licence, visit https://creativecommons.org/licenses/by-nc-sa/2.5/ This article is available from https://nhess.copernicus.org/articles/1/243/2001/nhess-1-243-2001.html The full text article is available as a PDF file from https://nhess.copernicus.org/articles/1/243/2001/nhess-1-243-2001.pdf

The problem of tsunami wave generation by variable meteo-conditions is discussed. The simplified linear and nonlinear shallow water models are derived, and their analytical solutions for a basin of constant depth are discussed. The shallow-water model describes well the properties of the generated tsunami waves for all regimes, except the resonance case. The nonlinear-dispersive model based on the forced Korteweg-de Vries equation is developed to describe the resonant mechanism of the tsunami wave generation by the atmospheric disturbances moving with near-critical speed (long wave speed). Some analytical solutions of the nonlinear dispersive model are obtained. They illustrate the different regimes of soliton generation and the focusing of frequency modulated wave packets.