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 Jürgen Herrmann) on the occasion of his 60th birthday.
| Original language | English |
|---|---|
| Pages (from-to) | 2145-2159 |
| Number of pages | 15 |
| Journal | European Physical Journal: Special Topics |
| Volume | 223 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1 Oct 2014 |
Bibliographical note
Publisher Copyright:© 2014, EDP Sciences and Springer.
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