Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices

S Zhou, J Zeng, Y Qin - Frontiers in Physics, 2023 - frontiersin.org
We investigate the existence and stability of localized gap states at a non-linear interface of
non-linear fractional systems in a one-dimensional photonic lattice. By using the direct …

Two-dimensional gap solitons in cubic-quintic nonlinear media with PT-symmetric lattices and fractional diffraction

X Zhu, MR Belić, D Mihalache, D **ang… - The European Physical …, 2024 - Springer
Gap solitons in two types of cubic-quintic nonlinear media—the competing focusing-
defocusing and the cooperative focusing-focusing types—are studied in this work. We …

Solitons in Quasiperiodic Lattices with Fractional Diffraction

E Pavlyshynets, L Salasnich, BA Malomed… - arxiv preprint arxiv …, 2024 - arxiv.org
We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice
potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons is …

Breathers in the Fractional

FK Model, J Catarecha… - Fractional Dispersive …, 2024 - books.google.com
In the present chapter, we explore the possibility of a Frenkel-Kontorova (discrete sine-
Gordon) model to bear interactions that decay algebraically with space, inspired by the …

Breathers in the fractional Frenkel-Kontorova model

J Catarecha, J Cuevas-Maraver… - … Dispersive Models and …, 2024 - Springer
In the present chapter, we explore the possibility of a Frenkel-Kontorova (discrete sine-
Gordon) model to bear interactions that decay algebraically with space, inspired by the …