Unfamiliar waves excited due to parametric and resonant effects

Galiev, Sh. U.
March 2000
AIP Conference Proceedings;2000, Vol. 511 Issue 1, p361
Academic Journal
In [1–3] solutions, which describe unfamiliar waves, were found for the disturbed wave equation. These resonant (natural or parametric resonance) waves cannot be classified as soliton- or conoidal- or shock- or breather-type waves. Some spatiotemporally oscillating, localized, nonlinear waves have properties of both standing waves and travelling waves. The last unfamiliar waves are not the d’Alembert-type waves. Different patterns are yielded by the waves in x-t plane. The waves describe qualitatively anomalous water and granular parametric waves observed recently. Here these unfamiliar waves are studied as applied to field systems. Cavities with a vibrating boundary are considered. Methods of nonlinear acoustics [1–3,4] are used. It is found that in the cavities the unfamiliar parametric waves can have an imagine amplitude. For this case, perhaps, these waves describe localisation and motion of a negative energy. Indeed, the generation of the negative energy density is the known result in physics (see, for instance, [5,6]). The solutions describe a formation of particle-like waves when the dispersion reduces. An attention is focused on media with cubic nonlinearity. General cases were considered in [7]. © 2000 American Institute of Physics.


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