Nonlinear dynamics of higher-order solitons near the oscillatory instability threshold

Nonlinear theory describing the dynamics of solitons in the vicinity of oscillatory instability threshold with a low frequency offset is developed. The theory is tested on the example of parametric degenerate four-wave mixing. All major predictions of our theory are in agreement with the results of...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2001-11, Vol.64 (5 Pt 2), p.056612-056612
Main Authors: Kolossovski, K Y, Buryak, A V, Skryabin, D V, Sammut, R A
Format: Article
Language:English
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Summary:Nonlinear theory describing the dynamics of solitons in the vicinity of oscillatory instability threshold with a low frequency offset is developed. The theory is tested on the example of parametric degenerate four-wave mixing. All major predictions of our theory are in agreement with the results of direct numerical modeling. This includes the position of oscillatory instability threshold, instability rates, and various instability development scenarios.
ISSN:1539-3755
DOI:10.1103/PhysRevE.64.056612