Nonlinear systems with periodic variations of nonlinearity and/or dispersion occur in a
variety of physical problems and engineering applications. The mathematical concept of …

Dissipative solitons (also known as auto-solitons) are stable, nonlinear, time-or space-
localized solitary waves that occur due to the balance between energy excitation and …

A wide variety of laser applications, that often require radiation with specific characteristics,
and relative flexibility of laser configurations offer a prospect of designing systems with the …

The dissipative solitons (DS) generated in fiber oscillators with mode-locking mechanism
based on nonlinear polarization evolution in a single-mode fiber exhibit stability and energy …

As recently revealed, chirped dissipative solitons (DSs) generated in a long cavity fiber laser
are subject to action of stimulated Raman scattering (SRS). Here we present theoretical and …

We have found a strongly pulsating regime of dissipative solitons in the laser model
described by the complex cubic-quintic Ginzburg-Landau equation. The pulse energy within …

In this study, we conduct a numerical evaluation of the impact of the recovery time of a
saturable absorber (SA) on the output performance of an Yb-doped fiber laser operating in …

We present a novel fiber source of ultrashort pulses at the wavelength of 1660 nm based on
the technique of external cavity Raman dissipative soliton generation. The output energy of …

We highlight two important aspects related to a mathematical modeling of pulsed fiber lasers
with long and ultra-long ring cavity–impact of an initial noise and a cavity length on …

We develop robust computational methods, referred to as boundary tracking algorithms, that
can rapidly determine the existence and stability of pulses in passively mode-locked laser …