On the Stabilization of Explosive Instabilities by Nonlinear Frequency Shifts

On the Stabilization of Explosive Instabilities by Nonlinear Frequency Shifts

This paper presents an analytic solution to the problem of explosive instabilities, including the effects of nonlinear frequency shifts proportional to the squares of the amplitudes. It is found that such frequency shifts may introduce stabilization of the explosive instabilities and may lead to sol...

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Veröffentlicht in:Physica scripta 1973-05, Vol.7 (5), p.217-221
Hauptverfasser: Oraevskii, V N, Wilhelmsson, H, Kogan, E Ya, Pavlenko, V P
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper presents an analytic solution to the problem of explosive instabilities, including the effects of nonlinear frequency shifts proportional to the squares of the amplitudes. It is found that such frequency shifts may introduce stabilization of the explosive instabilities and may lead to soliton-like solutions in time or to solutions which are periodic in time.
ISSN:1402-4896
0031-8949
1402-4896
DOI:10.1088/0031-8949/7/5/007