On frequency and spatial periodicity of the waves of the anomalous amplitude in the ocean
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Дата
2019
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Анотація
The paper shows that the waves of anomalous amplitude are long-lived formations. They drift in the direction of the wave motion
with the group velocity of the wave packet, which is half the phase velocity of the main wave. The swing of the wave (the distance
from the hump to the trough) of the anomalous amplitude is more than three times the average value of the sweep of the wave
motion. The modulation instability of this wave form a perturbation spectrum, the energy of which is twice the energy of the main
wave in the developed process mode. The spatial size of the wave packet practically does not change, the amplitude of the swing in
the maximum first increases, then gradually decreases. The number of such waves in areas of strong wind exposure is much larger
than the statistics of random interference processes allow. This is due to the influence of the main wave (its amplitude remains
noticeably greater than the amplitudes of each of the modes of the wave packet) on the behavior of each pair of modes from the wave
packet of the perturbation. In the laboratory system, the duration of the anomalous wave coincides qualitatively with the time of
existence of the Peregrin autowave. Although the Peregrin autowave corresponds to a different physical reality, where the dispersion
of the wave is weak. Gravitational surface waves have a strong dispersion, and the NSE equation in this case is noticeably modified.
However, in rest system of the wave packet (moving relative to the laboratory system) the abnormal amplitude wave lifetime is much
longer. The distance that the wave packet travels with a persisting anomalous sweep is at least equal to several hundred wavelengths
and can reach hundreds of kilometers. A simple calculation of such waves by means of space monitoring due to the small viewing
area (frame) may be inaccurate. Once formed, such waves are able to drift over considerable distances. However, they may well get
into the next frame of view. That is, estimates of the number of such waves can be overestimated.
Опис
Ключові слова
long-lived wave of anomalous amplitude, ocean waves, modulation instability
Бібліографічний опис
Kuklin V.M. On frequency and spatial periodicity of the waves of the anomalous amplitude in the ocean / V.M. Kuklin, E.V. Poklonskiy // East European Journal of Physics, 2019. – V.6. – N4. – P. 41-46. http://periodicals.karazin.ua/eejp/article/view/8561