Exploding dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in one and two spatial dimensions A review and a perspective
Abstract
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 Jurgen Herrmann) on the occasion of his 60th birthday.
Más información
Título según WOS: | Exploding dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in one and two spatial dimensions A review and a perspective |
Título según SCOPUS: | Exploding dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in one and two spatial dimensions: A review and a perspective |
Título de la Revista: | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS |
Volumen: | 223 |
Número: | 11 |
Editorial: | SPRINGER HEIDELBERG |
Fecha de publicación: | 2014 |
Página de inicio: | 2145 |
Página final: | 2159 |
Idioma: | English |
DOI: |
10.1140/epjst/e2014-02255-2 |
Notas: | ISI, SCOPUS |