Exploding dissipative solitons in reaction-diffusion systems

Orazio Descalzi*, Nail Akhmediev, Helmut R. Brand

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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
Issue number4
StatePublished - 17 Oct 2013


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