title: Nonlinear dynamics of higher-order solitons near the oscillatory instability threshold.
abstract: 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.
authors.affiliation: School of Mathematics and Statistics, University of New South Wales, Australian Defence Force Academy, Canberra 2600, Australia.
authors.forename: K Y
authors.initials: KY
authors.lastname: Kolossovski
authors.forename: A V
authors.initials: AV
authors.lastname: Buryak
authors.forename: D V
authors.initials: DV
authors.lastname: Skryabin
authors.forename: R A
authors.initials: RA
authors.lastname: Sammut