We present a progress overview focused on the recent theoretical and experimental
advances in the area of soliton manipulation in optical lattices. Optical lattices offer the …

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

The existence of thresholdless vortex solitons trapped at the core of disclination lattices that
realize higher-order topological insulators is reported. The study demonstrates the interplay …

We show with numerical computation and analysis that Bloch waves, at either the center or
edge of the Brillouin zone, of a one dimensional nonlinear periodic system can be regarded …

In this paper, the dynamics of ultrashort light pulses inside an inhomogeneous optical
medium that displays all orders of dispersion up to the fourth order as well as self …

In an optical fiber, we report on our study of pulse compression using an analytical method.
A significant role for the eighth order nonlinear Schrödinger (NLS) equation may be seen in …

We study the existence, stability, and mobility of fundamental discrete solitons in two-and
three-dimensional nonlinear Schrödinger lattices with a combination of cubic self-focusing …

We investigate a generalized nonlinear Schrödinger equation with higher-order effects such
as pseudo-quintic nonlinearity and self-steepening effect. The model applies to the …

We present an overview of our recent results in the area of soliton excitation and control in
optical lattices induced by different types of nondiffracting beams featuring unique …

Wave-speed management of soliton pulses in a nonlinear metamaterial exhibiting a rich
variety of physical effects that are important in a wide range of practical applications, is …