English

Nonlinearity managed dissipative solitons

Pattern Formation and Solitons 2020-12-22 v1 Optics

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.

Keywords

Cite

@article{arxiv.2012.11506,
  title  = {Nonlinearity managed dissipative solitons},
  author = {Fatkhulla Kh. Abdullaev and Sadulla Sh. Tadjimuratov and Abdulaziz A. Abdumalikov},
  journal= {arXiv preprint arXiv:2012.11506},
  year   = {2020}
}

Comments

13 pages, 8 figures

R2 v1 2026-06-23T21:08:58.788Z