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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1998, Volume 39, Issue 2, Pages 40–46
(Mi pmtf3243)
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This article is cited in 3 scientific papers (total in 3 papers)
Shallow-water equations with dispersion. Hyperbolic model
V. Yu. Lyapidevskii Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090
Abstract:
A hyperbolic shallow-water model is constructed with allowance for nonlinear and dispersive effects. The model describes solitonlike solutions in a range of wave velocities and predicts the breaking of smooth waves when the limiting amplitude is attained. The model is found to be adequate by comparison with experimental data on the evolution of a wave packet generated by the moving lateral wall of a channel.
Received: 10.07.1996
Citation:
V. Yu. Lyapidevskii, “Shallow-water equations with dispersion. Hyperbolic model”, Prikl. Mekh. Tekh. Fiz., 39:2 (1998), 40–46; J. Appl. Mech. Tech. Phys., 39:2 (1998), 194–199
Linking options:
https://www.mathnet.ru/eng/pmtf3243 https://www.mathnet.ru/eng/pmtf/v39/i2/p40
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