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

Research output: Contribution to journalArticlepeer-review

10 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 languageAmerican English
JournalPhysical Review Letters
Volume116
Issue number20
DOIs
StatePublished - 19 May 2016

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