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

## TL;DR

This paper studies how high-order nonlinear and dispersive effects influence soliton explosions in the complex cubic-quintic Ginzburg-Landau equation, revealing mode splitting, periodic explosions, and reduced stability regions.

## Contribution

It demonstrates the role of high-order effects in splitting explosion modes and inducing pulsating instabilities, expanding understanding of soliton dynamics.

## Key findings

- High-order effects cause splitting of symmetric explosion modes.
- High-order effects lead to periodic explosions on one side.
- Stability region of solitons is significantly reduced.

## Abstract

We investigate the impact of higher-order nonlinear and dispersive effects on the onset of soliton explosions in the complex cubic-quintic Ginzburg-Landau equation. We show how the interplay of the high order effects (HOEs) results in the splitting of symmetric explosion modes and to the formation of right- or left-side periodic explosions. In addition, we demonstrate that HOEs induce a series of pulsating instabilities, leading to a significant reduction of the stability region of the single soliton solution.