Nonli near transformati on of wave packets in weakly dispersive media

T. G. Talipova; E. N. Pelinovsky; E. Kit; O. Eitan

doi:10.1007/BF02677574

Nonli near transformati on of wave packets in weakly dispersive media

T. G. Talipova, E. N. Pelinovsky, E. Kit, O. Eitan

Fluid Mechanics and Heat Transfer

Research output: Contribution to journal › Article › peer-review

Abstract

We study the propagation of nonlinear modulated waves in weakly dispersive media within the framework of the Kort eveg-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.

Original language	English
Pages (from-to)	354-358
Number of pages	5
Journal	Radiophysics and Quantum Electronics
Volume	42
Issue number	4
DOIs	https://doi.org/10.1007/BF02677574
State	Published - 1 Apr 1999

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abstract = "We study the propagation of nonlinear modulated waves in weakly dispersive media within the framework of the Kort eveg-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.",

author = "Talipova, {T. G.} and Pelinovsky, {E. N.} and E. Kit and O. Eitan",

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AU - Pelinovsky, E. N.

AU - Kit, E.

AU - Eitan, O.

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N2 - We study the propagation of nonlinear modulated waves in weakly dispersive media within the framework of the Kort eveg-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.

AB - We study the propagation of nonlinear modulated waves in weakly dispersive media within the framework of the Kort eveg-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.

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Nonli near transformati on of wave packets in weakly dispersive media

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