title: Knotted solitons in nonlinear magnetic metamaterials.
abstract: We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes--knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for the subcritical coupling between resonators and instability-induced breaking of the chains for the supercritical coupling.
authors.affiliation: National Research University of Information Technologies, Mechanics, and Optics, St. Petersburg 197101, Russia.
authors.forename: Nikolay N
authors.initials: NN
authors.lastname: Rosanov
authors.forename: Nina V
authors.initials: NV
authors.lastname: Vysotina
authors.forename: Anatoly N
authors.initials: AN
authors.lastname: Shatsev
authors.forename: Anton S
authors.initials: AS
authors.lastname: Desyatnikov
authors.forename: Yuri S
authors.initials: YS
authors.lastname: Kivshar