On steady periodic waves on the surface of a fluid of finite depth |
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| Authors: | T A Bodnar’ |
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| Institution: | (2) Department of Mathematics, University of Texas – Pan American, Edinburg, USA; |
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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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