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 …

The study presents the dark solitons generation in Er-doped mode-locked fiber laser based
on ferroferric-oxide (Fe 3 O 4) nanoparticles. The D-shaped fiber deposited with Fe 3 O 4 …

A direct perturbation method for approximating dark soliton solutions of the nonlinear
Schrödinger (NLS) equation under the influence of perturbations is presented. The problem …

Droplet solitons are strongly nonlinear, inherently dynamic structures in the magnetization of
ferromagnets, balancing dispersion (exchange energy) with focusing nonlinearity (strong …

Localized wave solutions, often referred to as solitary waves or solitons, are important
classes of solutions in nonlinear optics. In optical communications, weakly nonlinear, quasi …

The generation and dynamics of dark solitons in mode-locked lasers is studied within the
framework of a nonlinear Schrödinger equation which incorporates power-saturated loss, as …

Soliton strings in mode-locked lasers are obtained using a variant of the nonlinear
Schrödinger equation, appropriately modified to model power (intensity) and energy …

The response of a passive mode-locking mechanism, where gain and spectral filtering are
saturated with the energy and loss saturated with the power, is examined under the …

The locking mechanism to dark solitons in passive mode-locked (ML) lasers is studied under
the presence of perturbative effects. These include higher order dispersion, self-steepening …

We describe an iterative method that extracts the underlying soliton from a noisy pulse. The
method is formulated as a functional iteration: at each step, the soliton component of the …