Topological photonics, accompanied by the ability to manipulate light, has emerged as a
rapidly growing field of research. More platforms for displaying novel topological photonic …

In recent years, topological photonics inspired by electric topological insulators has
promoted extensive research on robust electromagnetic (EM) wave manipulation and new …

Introduction of controllable deformations into periodic materials that lead to disclinations in
their structure opens novel routes for construction of higher-order topological insulators …

Interest in physical systems with fractional derivatives has exploded in the 21st century.
Similarly, interest in the localized excitations of nonlinear dynamical systems continues to …

Edge states in topological phase transitions have been observed in various platforms. To
date, verification of the edge states and the associated topological invariant are mostly …

Topological insulators are unique materials possessing forbidden topological gap and
behaving similar to usual insulators in their bulk, but at the same time supporting localized in …

We report on the existence and stability of π-mode solitons in both one-dimensional (1D)
and two-dimensional (2D) nonlinear Su-Schrieffer-Heeger (SSH) arrays with periodic …

Floquet systems with periodically varying in time parameters enable realization of
unconventional topological phases that do not exist in static systems with constant …

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 that one-dimensional Floquet trimer arrays with periodically oscillating
waveguides support two different and co-existing types of topological Floquet edge states in …