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On steady periodic waves on the surface of a fluid of finite depth

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Abstract

A solution of Nekrasov’s integral equation is obtained, and the range of its existence in the theory of steady nonlinear waves on the surface of a finite-depth fluid is determined. Relations are derived for calculating the wave profile and propagation velocity as functions of the ratio of the liquid depth to the wavelength. A comparison is made of the velocities obtained using the linear and nonlinear theories of wave propagation.

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Authors and Affiliations

  1. Technological Institute, Altai State Technical University, Biisk, 659305, Russia

    T. A. Bodnar’

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  1. T. A. Bodnar’
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Correspondence to T. A. Bodnar’.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 52, No. 3, pp. 60–67, May–June, 2011.

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Bodnar’, T.A. On steady periodic waves on the surface of a fluid of finite depth. J Appl Mech Tech Phy 52, 378–384 (2011). https://doi.org/10.1134/S0021894411030072

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  • DOI: https://doi.org/10.1134/S0021894411030072

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