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Shallow-water equations with dispersion. Hyperbolic model

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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.

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Authors
  1. V. Yu. Liapidevskii
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Additional information

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 2, pp. 40–46, March–April, 1998.

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Liapidevskii, V.Y. Shallow-water equations with dispersion. Hyperbolic model. J Appl Mech Tech Phys 39, 194–199 (1998). https://doi.org/10.1007/BF02468084

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  • DOI: https://doi.org/10.1007/BF02468084

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