Since the realization of Bose–Einstein condensates (BECs) trapped in optical potentials,
intensive experimental and theoretical investigations have been carried out for bright and …

The sine-Gordon equation is, arguably, one of the most popular nonlinear wave models.
This feature is due to a number of appealing traits of this system. One such characteristic is …

We investigate numerically interactions between two in-phase or out-of-phase Airy beams
and nonlinear accelerating beams in Kerr and saturable nonlinear media in one transverse …

Reservoir computing is a promising framework that facilitates the approach to physical
neuromorphic hardware by enabling a given nonlinear physical system to act as a …

By means of direct simulations and theoretical analysis, we study the nonlinear propagation
of truncated Airy pulses in an optical fiber exhibiting both anomalous second-order and …

Being ubiquitous, solitons have particle-like properties, exhibiting behaviour often
associated with atoms. Bound solitons emulate dynamics of molecules, though solitonic …

Theoretical consideration of the propagation of femtosecond Gaussian pulses in a one-
dimensional composite medium, consisting of alternating self-focusing and self-defocusing …

The dynamics of two component-coupled vectorial Airy beams is investigated. In the linear
propagation regime, a complete analytic solution describes the breather-like propagation of …

Nondeterministic giant waves, denoted as rogue, killer, monster, or freak waves, have been
reported in many different branches of physics. Their physical interpretation is however still …

We present a numerical model to study the amplification and spectral conversion of
ultrashort pulses at 2.8 μm in Er^ 3+: fluoride fibers. This model includes accurate …