Random walks of trains of dissipative solitons

Jaime Cisternas*, Carlos Cartes, Orazio Descalzi, Tony Albers, Günter Radons

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The propagation of light pulses in dual-core nonlinear optical fibers is studied using a model proposed by Sakaguchi and Malomed. The system consists of a supercritical complex Ginzburg-Landau equation coupled to a linear equation. Our analysis includes single standing and walking solitons as well as walking trains of 3, 5, 6, and 12 solitons. For the characterization of the different scenarios, we used ensemble-averaged square displacement of the soliton trajectories and time-averaged power spectrum of the background waves. Power law spectra, indicative of turbulence, were found to be associated with random walks. The number of solitons (or their separations) can trigger anomalous random walks or totally suppress the background waves.

Translated title of the contributionPaseos aleatorios de trenes de solitones disipativos
Original languageEnglish
Article number6091
Issue number7
StatePublished - 1 Jul 2020

Bibliographical note

Funding Information:
This work was supported by the FONDECYT-Chile (Grant No. 1200357). It is a great pleasure to dedicate this work to Professor Enrique Tirapegui on the occasion of his 80th birthday.

Publisher Copyright:
© 2020 Author(s).


  • Human experiment
  • Power spectrum;
  • Walking


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