Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity

R. Driben, T. Meier, B.A. Malomed, Scientific Reports 5 (2015).

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Journal Article | Published | English
Author
Driben, Rodislav; Meier, TorstenLibreCat ; Malomed, Boris A.
Abstract
Recently, a new class of nonlinear systems was introduced, in which the self-trapping of fundamental and vortical localized modes in space of dimension D is supported by cubic self-repulsion with a strength growing as a function of the distance from the center, r, at any rate faster that rD. These systems support robust 2D and 3D modes which either do not exist or are unstable in other nonlinear systems. Here we demonstrate a possibility to create solitary vortices in this setting by applying a phase-imprinting torque to the ground state. Initially, a strong torque completely destroys the ground state. However, contrary to usual systems, where the destruction is irreversible, the present ones demonstrate a rapid restabilization and the creation of one or several shifted vortices orbiting the center. For the sake of comparison, we show analytically that, in the linear system with a 3D trapping potential, the action of a torque on the ground state is inefficient and creates only even-vorticity states with a small probability.
Publishing Year
Journal Title
Scientific Reports
Volume
5
Article Number
9420
ISSN
Financial disclosure
Article Processing Charge funded by the Deutsche Forschungsgemeinschaft.
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Cite this

Driben R, Meier T, Malomed BA. Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity. Scientific Reports. 2015;5. doi:10.1038/srep09420
Driben, R., Meier, T., & Malomed, B. A. (2015). Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity. Scientific Reports, 5, Article 9420. https://doi.org/10.1038/srep09420
@article{Driben_Meier_Malomed_2015, title={Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity}, volume={5}, DOI={10.1038/srep09420}, number={9420}, journal={Scientific Reports}, author={Driben, Rodislav and Meier, Torsten and Malomed, Boris A.}, year={2015} }
Driben, Rodislav, Torsten Meier, and Boris A. Malomed. “Creation of Vortices by Torque in Multidimensional Media with Inhomogeneous Defocusing Nonlinearity.” Scientific Reports 5 (2015). https://doi.org/10.1038/srep09420.
R. Driben, T. Meier, and B. A. Malomed, “Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity,” Scientific Reports, vol. 5, Art. no. 9420, 2015, doi: 10.1038/srep09420.
Driben, Rodislav, et al. “Creation of Vortices by Torque in Multidimensional Media with Inhomogeneous Defocusing Nonlinearity.” Scientific Reports, vol. 5, 9420, 2015, doi:10.1038/srep09420.

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