Nonlinear dynamics of higher-order solitons near the oscillatory instability threshold - art. no. 056612

Nonlinear theory describing the dynamics of solitons in the vicinity of osc illatory instability threshold with a low frequency offset is developed, Th e 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 instab ility threshold, instability rates. and various instability development sce narios.