Random walks of trains of dissipative solitons

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Abstract

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.

Original languageEnglish
Article number6091
JournalChaos
Volume30
Issue number7
DOIs
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).

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