IKBFU's Vestnik

2016 Issue №4

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A new way of solving the problem of the sinusoidal waves on the surface of a homogeneous perfect fluid

Pages
48-55

Abstract

We consider a new way of solving the problem of the sinusoidal wave on the surface of a homogeneous perfect fluid. Its feature is used instead of the potential speed of the original characteristics of wave motion: horizontal and vertical components of the velocity and pressure. It is noted that it will generalize the problem under consideration in the event of a multi-layer liquid. The results, including the dispersion relation, fully consistent with the known. Specially considered long-wave approximation.

Reference

1. Сретенский Л. Н. Теория волновых движений идеальной жидкости. М., 1977.