AUTHOR=Aceves Alejandro , Copeland Austin 

TITLE=Spatio-temporal dynamics in the mixed fractional nonlinear Schrödinger equation

JOURNAL=Frontiers in Photonics

VOLUME=Volume 3 - 2022

YEAR=2022

URL=https://www.frontiersin.org/journals/photonics/articles/10.3389/fphot.2022.977343

DOI=10.3389/fphot.2022.977343

ISSN=2673-6853

ABSTRACT=The effective engineering of linear and nonlinear  optical properties in photonic media has 
led to new advances in the theory and applications of spatio-temporal light-matter 
interactions. In some instances research has been motivated by phenomena in a 
Quantum-Mechanical framework; two notable examples
being Anderson localization and Parity-Time symmetry. 
Here we present theoretical and numerical results on light propagation
in the presence of fractional diffraction and classical dispersion highlighting the role  
mixed-factionality  has on  stability, spatio-temporal localization and possible collapse events.