Exploding dissipative solitons in reaction-diffusion systems

Orazio Descalzi, Nail Akhmediev, Helmut R. Brand

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We show that exploding dissipative solitons can arise in a reaction-diffusion system for a range of parameters. As a function of a vorticity parameter, we observe a sequence of transitions from oscillatory localized states via meandering dissipative solitons to exploding dissipative solitons propagating in one direction for long times followed by the reverse cascade back to oscillatory localized states. While exploding dissipative solitons are known from the cubic-quintic complex Ginzburg-Landau (CGL) equation, propagating exploding dissipative solitons appear to require for their existence a system of lower symmetry such as the reaction-diffusion model studied here.

Original languageEnglish
Article number042911
JournalPhysical Review E
Volume88
Issue number4
DOIs
StatePublished - 17 Oct 2013

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