Nonlinear transformation of wave packets in weakly dispersive media |
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| Authors: | T G Talipova E N Pelinovsky E Kit O Eitan |
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| Institution: | (1) Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia;(2) Tel-Aviv University, Tel-Aviv, Israel |
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| Abstract: | We study the propagation of nonlinear modulated waves in weakly dispersive media within the framework of the Korteveg- de
Vries equation. It is shown that strong generation of overtones and mean flow by the modulated packet results in asymmetry
of the wave packet envelope with respect to both horizontal and vertical axes and makes the envelope skewed. The motion of
the wave packet is accompanied by the emission of low-frequency and high-frequency waves that propagate in different directions
from the packet. As a result, the mean amplitude of the wave packet decreases with distance.
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 4, pp. 354–358, April 1999. |
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