Exploding dissipative solitons in reaction-diffusion systems

Orazio Descalzi*, Nail Akhmediev, Helmut R. Brand

*Autor correspondiente de este trabajo

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

16 Citas (Scopus)

Resumen

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.
Idioma originalInglés
Número de artículo042911
PublicaciónPhysical Review E
Volumen88
N.º4
DOI
EstadoPublicada - 17 oct 2013

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