Impact of high-order effects on soliton explosions in the complex cubic-quintic Ginzburg-Landau equation

We investigate the impact of higher-order nonlinear and dispersive effects on the dynamics of a single soliton solution in the complex cubic-quintic Ginzburg-Landau equation. Operating in the regime of soliton explosions, we show how the splitting of explosion modes is affected by the interplay of the high-order effects (HOEs) resulting in the controllable selection of right- or left-side periodic explosions. In addition, we demonstrate that HOEs induce a series of pulsating instabilities, significantly reducing the stability region of the single soliton solution.