Anomalous Diffusion of Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation in Two Spatial Dimensions

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We demonstrate the occurrence of anomalous diffusion of dissipative solitons in a "simple" and deterministic prototype model: the cubic-quintic complex Ginzburg-Landau equation in two spatial dimensions. The main features of their dynamics, induced by symmetric-asymmetric explosions, can be modeled by a subdiffusive continuous-time random walk, while in the case dominated by only asymmetric explosions, it becomes characterized by normal diffusion.

Original languageEnglish
Article number203901
JournalPhysical Review Letters
Volume116
Issue number20
DOIs
StatePublished - 19 May 2016

Bibliographical note

Funding Information:
J. C. and O. D. are thankful for the support of FONDECYT (Chile, Grants No. 1140143 and No.1140139) and the Research Office, Universidad de los Andes, Chile.

Publisher Copyright:
© 2016 American Physical Society.

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