Dark solitons in the Lugiato-Lefever equation with normal dispersion

by Parra-Rivas, P., Knobloch, E., Gomila, D. and Gelens, L.
Abstract:
The regions of existence and stability of dark solitons in the Lugiato-Lefever model with normal chromatic dispersion are described. These localized states are shown to be organized in a bifurcation structure known as collapsed snaking implying the presence of a region in parameter space with a finite multiplicity of dark solitons. For some parameter values dynamical instabilities are responsible for the appearance of oscillations and temporal chaos. The importance of the results for understanding frequency comb generation in microresonators is emphasized.
Reference:
Dark solitons in the Lugiato-Lefever equation with normal dispersion (Parra-Rivas, P., Knobloch, E., Gomila, D. and Gelens, L.), In Physical Review A, volume 93, 2016.
Bibtex Entry:
@article{parra-rivas_dark_2016,
	title = {Dark solitons in the {Lugiato}-{Lefever} equation with normal dispersion},
	volume = {93},
	issn = {2469-9926, 2469-9934},
	url = {https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.063839},
	doi = {10.1103/PhysRevA.93.063839},
	abstract = {The regions of existence and stability of dark solitons in the Lugiato-Lefever model with normal chromatic dispersion are described. These localized states are shown to be organized in a bifurcation structure known as collapsed snaking implying the presence of a region in parameter space with a finite multiplicity of dark solitons. For some parameter values dynamical instabilities are responsible for the appearance of oscillations and temporal chaos. The importance of the results for understanding frequency comb generation in microresonators is emphasized.},
	number = {6},
	urldate = {2016-11-07},
	journal = {Physical Review A},
	author = {Parra-Rivas, P. and Knobloch, E. and Gomila, D. and Gelens, L.},
	month = jun,
	year = {2016},
    pages = {063839},
	keywords = {Nonlinear Sciences - Pattern Formation and Solitons, Physics - Optics}
}