Exploding dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in one and two spatial dimensions: A review and a perspective

C. Cartes, O. Descalzi*, H. R. Brand

*Autor correspondiente de este trabajo

Resultado de la investigación: Contribución a una revistaArtículo de revisiónrevisión exhaustiva

6 Citas (Scopus)

Resumen

We review the work on exploding dissipative solitons in one and two spatial dimensions. Features covered include: the transition from modulated to exploding dissipative solitons, the analogue of the Ruelle-Takens scenario for dissipative solitons, inducing exploding dissipative solitons by noise, two classes of exploding dissipative solitons in two spatial dimensions, diffusing asymmetric exploding dissipative solitons as a model for a two-dimensional extended chaotic system. As a perspective we outline the interaction of exploding dissipative solitons with quasi one-dimensional dissipative solitons, breathing quasi one-dimensional solutions and their possible connection with experimental results on convection, and the occurence of exploding dissipative solitons in reaction-diffusion systems.
It is a great pleasure to dedicate this work to our long-time friend Hans (Prof. Dr. Hans Jürgen Herrmann) on the occasion of his 60th birthday.
Idioma originalInglés
Páginas (desde-hasta)2145-2159
Número de páginas15
PublicaciónEuropean Physical Journal: Special Topics
Volumen223
N.º11
DOI
EstadoPublicada - 1 oct 2014

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Publisher Copyright:
© 2014, EDP Sciences and Springer.

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