Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

Dissipative solitons are localized formations of an electromagnetic field that are balanced
through an energy exchange with the environment in presence of nonlinearity, dispersion …

Dissipative solitons are remarkably localized states of a physical system that arise from the
dynamical balance between nonlinearity, dispersion and environmental energy exchange …

Soliton explosions are among the most exotic dissipative phenomena studied in mode-
locked lasers. In this regime, a dissipative soliton circulating in the laser cavity experiences …

The field of nonlinear dispersive waves has developed enormously since the work of Stokes,
Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s …

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 …

Direct generation of chirp-free solitons without external compression in normal-dispersion
fiber lasers is a long-term challenge in ultrafast optics. We demonstrate near-chirp-free …

We have found a dissipative soliton resonance which applies to nonlinear dynamical
systems governed by the complex cubic-quintic Ginzburg-Landau equation. Specifically, for …

We observed generation of stable picoseconds pulse train and double-scale optical lumps
with picosecond envelope and femtosecond noise-like oscillations in the same Yb-doped …

The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr
and power law nonlinearities. Several integration techniques are applied to retrieve various …