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Localization of Resonant Spherical Waves

Localization of Resonant Spherical Waves

This paper treats radial spherical resonant waves excited in the transresonant regime. An approximate general solution of a perturbedwave equation is presented here, which takes into account nonlinear, spatial, and dissipative effects. Then a boundary problem reduces to the perturbed compound...

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Bibliographic Details
Main Authors: Galiev, Sh.U., Panova, O.P.
Format: Article
Language:English
Published: Інститут проблем міцності ім. Г.С. Писаренко НАН України 2002
Series:Проблемы прочности
Subjects:
Научно-технический раздел
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/46733
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Summary:This paper treats radial spherical resonant waves excited in the transresonant regime. An approximate general solution of a perturbedwave equation is presented here, which takes into account nonlinear, spatial, and dissipative effects. Then a boundary problem reduces to the perturbed compound Burgers-Kortewegde Vries equation (BKdV) in time. Several solutions to this equation are constructed. Shock waves may be excited near resonance according to the solutions for an inviscid medium. However, both viscosity and spatial dispersion begin to be important very close to resonance and prevent the formation of shock discontinuity. As a result, periodic localized excitations are generated in resonators instead of shock waves.

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