• Letter

Multiplicative noise can induce a velocity change of propagating dissipative solitons

Orazio Descalzi, Carlos Cartes, and Helmut R. Brand
Phys. Rev. E 103, L050201 – Published 3 May 2021

Abstract

We investigate the influence of spatially homogeneous multiplicative noise on propagating dissipative solitons (DSs) of the cubic complex Ginzburg-Landau equation stabilized by nonlinear gradient terms. Here we focus on the nonlinear gradient terms, in particular on the influence of the Raman term and the delayed nonlinear gain. We show that a fairly small amount of multiplicative noise can lead to a change in the mean velocity for such systems. This effect is exclusively due to the presence of the stabilizing nonlinear gradient terms. For a range of parameters we find a velocity change proportional to the noise intensity for the Raman term and for delayed nonlinear gain. We note that the dissipative soliton decreases the modulus of its velocity when only one type of nonlinear gradient is present. We present a straightforward mean field analysis to capture this simple scaling law. At sufficiently high noise strength the nonlinear gradient stabilized DSs collapse.

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  • Received 12 December 2020
  • Accepted 13 April 2021

DOI:https://doi.org/10.1103/PhysRevE.103.L050201

©2021 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Nonlinear Dynamics

Authors & Affiliations

Orazio Descalzi1,2,*, Carlos Cartes1, and Helmut R. Brand2

  • 1Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, 7620001, Santiago, Chile
  • 2Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany

  • *Corresponding author: odescalzi@miuandes.cl

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Issue

Vol. 103, Iss. 5 — May 2021

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