Multiplicative noise can induce a velocity change of propagating dissipative solitons

Orazio Descalzi*, Carlos Cartes, Helmut R. Brand

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish
Article numberL050201
JournalPhysical Review E
Issue number5
StatePublished - 1 May 2021

Bibliographical note

Funding Information:
O.D. and C.C. wish to acknowledge the support of FONDECYT (CL), Grant No. 1200357.

Publisher Copyright:
© 2021 American Physical Society.


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