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Solitons in nonlinear lattices
This article offers a comprehensive survey of results obtained for solitons and complex
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …
nonlinear wave patterns supported by nonlinear lattices (NLs), which represent a spatially …
Discrete breathers—advances in theory and applications
Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …
Vortex solitons in twisted circular waveguide arrays
We address the formation of topological states in twisted circular waveguide arrays and find
that twisting leads to important differences of the fundamental properties of new vortex …
that twisting leads to important differences of the fundamental properties of new vortex …
Soliton shape and mobility control in optical lattices
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 …
advances in the area of soliton manipulation in optical lattices. Optical lattices offer the …
Composite solitary vortices of three-wave mixing in quasi-phase-matched photonic crystals
C Kong, J Li, X Tang, X Li, J Jiao, J Cao… - Chaos, Solitons & Fractals, 2024 - Elsevier
We report the composite vortex solitons of three-wave mixing propagate stably in a three-
dimensional (3D) quasi-phase-matched photonic crystals (QPM-PhC). The modulation of …
dimensional (3D) quasi-phase-matched photonic crystals (QPM-PhC). The modulation of …
Vortex solitons in moiré optical lattices
We show that optical moiré lattices enable the existence of vortex solitons of different types
in self-focusing Kerr media. We address the properties of such states both in lattices having …
in self-focusing Kerr media. We address the properties of such states both in lattices having …
Vortex solitons in topological disclination lattices
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 …
realize higher-order topological insulators is reported. The study demonstrates the interplay …
Two-dimensional localized modes in nonlinear systems with linear nonlocality and moiré lattices
Periodic structures structured as photonic crystals and optical lattices are fascinating for
nonlinear waves engineering in the optics and ultracold atoms communities. Moiré photonic …
nonlinear waves engineering in the optics and ultracold atoms communities. Moiré photonic …
Topological States in Partially--Symmetric Azimuthal Potentials
We introduce partially-parity-time (p PT)-symmetric azimuthal potentials composed from
individual PT-symmetric cells located on a ring, where two azimuthal directions are …
individual PT-symmetric cells located on a ring, where two azimuthal directions are …
Vortex transmutation
Using group theory arguments and numerical simulations, we demonstrate the possibility of
changing the vorticity or topological charge of an individual vortex by means of the action of …
changing the vorticity or topological charge of an individual vortex by means of the action of …