Stability analysis of numerically exact time-periodic breathers in the Lugiato-Lefever equation: Discrete vs continuum

We describe a framework for numerical calculation of time-periodically oscillating (breather) solutions to the discretized Lugiato-Lefever equation (LLE), as well as their linear stability as obtained from numerical Floquet analysis. Compared to earlier approaches, our work allows for the following...

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Bibliographic Details
Main Authors: Magnus Johansson, Valery E. Lobanov, Dmitry V. Skryabin
Format: Article
Language:English
Published: American Physical Society 2019-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.1.033196