Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links
Pattern Formation and Solitons
2019-07-11 v3
Abstract
Quantized vortices in a complex wave field described by a defocusing nonlinear Schr\"odinger equation with a space-varying dispersion coefficient are studied theoretically and compared to vortices in the Gross-Pitaevskii model with external potential. A discrete variant of the equation is used to demonstrate numerically that vortex knots in three-dimensional arrays of oscillators coupled by specially tuned weak links can exist for as long times as many tens of typical vortex turnover periods.
Keywords
Cite
@article{arxiv.1904.07827,
title = {Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links},
author = {Victor P. Ruban},
journal= {arXiv preprint arXiv:1904.07827},
year = {2019}
}
Comments
revtex, 6 pages, 7 figures, accepted for publication in PRE