Nonlinearity managed dissipative solitons

TL;DR

This paper investigates the behavior of dissipative solitons in a complex cubic-quintic Ginzburg-Landau equation with strong nonlinearity management, deriving an averaged model and analyzing soliton stability through simulations.

Contribution

It introduces an averaged complex Ginzburg-Landau model under nonlinearity management and analyzes dissipative soliton dynamics and stabilization regions using variational and numerical methods.

Findings

Existence of nonlinearity-managed dissipative solitons confirmed.

Parameter regions for soliton stabilization identified.

Numerical simulations agree with the averaged model predictions.

Abstract

We study the dynamics of localized pulses in the complex cubic-quintic Ginzburg-Landau (GL) equation with strong nonlinearity management. The generalized complex GL equation, averaged over rapid modulations of the nonlinearity, is derived. We employ the variational approach to this averaged equation to derive a dynamical system for the dissipative soliton parameters. By using numerical simulations of this dynamical system and the full GP equation, we show that nonlinearity-managed dissipative solitons exist in the model. The parameter regions for stabilization of exploding soliton are obtained.