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, HR Brand - The European Physical Journal Special …, 2014 - Springer
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 …

Experimentally observed route to spatiotemporal chaos in an extended one-dimensional array of convective oscillators

MA Miranda, J Burguete - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
We report experimental evidence of the route to spatiotemporal chaos in a large one-
dimensional array of hotspots in a thermoconvective system. As the driving force is …

Frozen dynamics and synchronization through a secondary symmetry-breaking bifurcation

MA Miranda, J Burguete, H Mancini… - Physical Review E …, 2013 - APS
We show evidence of the frozen dynamics (Kibble-Zurek mechanism) at the transition one-
dimensional (1D) front of an extended 1D array of convective oscillators that undergo a …

Quasi-one-dimensional solutions and their interaction with two-dimensional dissipative solitons

O Descalzi, HR Brand - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We describe the stable existence of quasi-one-dimensional solutions of the two-dimensional
cubic-quintic complex Ginzburg-Landau equation for a large range of the bifurcation …

Class of compound dissipative solitons as a result of collisions in one and two spatial dimensions

O Descalzi, HR Brand - Physical Review E, 2014 - APS
We study the interaction of quasi-one-dimensional (quasi-1D) dissipative solitons (DSs).
Starting with quasi-1D solutions of the cubic-quintic complex Ginzburg-Landau (CGL) …

Integrability of the coupled cubic–quintic complex Ginzburg–Landau equations and multiple-soliton solutions via mathematical methods

ES Selima, AR Seadawy, X Yao… - Modern Physics Letters B, 2018 - World Scientific
This paper is devoted to study the (1+ 1)-dimensional coupled cubic–quintic complex
Ginzburg–Landau equations (cc–qcGLEs) with complex coefficients. This equation can be …

The Kibble–Zurek mechanism in a subcritical bifurcation

MA Miranda, D Laroze… - Journal of Physics …, 2013 - iopscience.iop.org
We present a study of the freezing dynamics of topological defects in a subcritical system by
testing the Kibble–Zurek (KZ) mechanism while crossing a tri-stable region in a one …

Moving breathing pulses in the one-dimensional complex cubic-quintic Ginzburg-Landau equation

P Gutiérrez, D Escaff, S Pérez-Oyarzún… - Physical Review E …, 2009 - APS
We show and characterize numerically moving breathing pulses in the one-dimensional
complex cubic-quintic Ginzburg-Landau equation. This class of stable moving breathing …

Localized structures in convective experiments

J Burguete, H Mancini - The European Physical Journal Special Topics, 2014 - Springer
In this work we review localized structures appearing in thermo-convective experiments
performed in extended (large “aspect ratio”) fluid layers. After a brief general review (not …

Instabilities of conducting fluid layers in weak time-dependent magnetic fields

I Cortés-Domínguez, J Burguete - Physical Review E, 2017 - APS
We present the experimental analysis of the instabilities generated on a large drop of liquid
metal by a time-dependent magnetic field. The study is done exploring the range of tiny …