Abstract The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear
equations in the physics community. It describes a vast variety of phenomena from nonlinear …

Optical frequency-comb sources, which emit perfectly periodic and coherent waveforms of
light, have recently rapidly progressed towards chip-scale integrated solutions. Among them …

Nonlinear differential or difference equations are encountered not only in mathematics but
also in many areas of physics (evolution equations and propagation of a signal in an optical …

This paper reviews recent works on localized solutions of the one-dimensional complex
Ginzburg–Landau (CGL) equation known as traveling holes. Such coherent structures seem …

We investigate, in a systematic fashion, coherent structures, or defects, which serve as
interfaces between wave trains with possibly different wavenumbers in reaction-diffusion …

We have investigated the influence of a weak radial temperature gradient in a wide gap and
large aspect ratio Couette-Taylor system. The inner cylinder is rotating and can be heated or …

The transition from phase chaos to defect chaos in the complex Ginzburg–Landau equation
(CGLE) is related to saddle-node bifurcations of modulated amplitude waves (MAWs). First …

Partial annihilation of two counterpropagating dissipative solitons, with only one pulse
surviving the collision, has been widely observed in different experimental contexts, over a …

We study the time-dependent behavior of dissipative solitons (DSs) stabilized by nonlinear
gradient terms. Two cases are investigated: first, the case of the presence of a Raman term …

We show, both experimentally and theoretically, that the loss of coherence of a long cavity
optical coherence tomography (OCT) laser can be described as a transition from laminar to …