Knotted solitons in nonlinear magnetic metamaterials

Nikolay N. Rosanov*, Nina V. Vysotina, Anatoly N. Shatsev, Anton S. Desyatnikov, Yuri S. Kivshar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


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.

Original languageEnglish
Article number133902
JournalPhysical Review Letters
Issue number13
Publication statusPublished - 30 Mar 2012


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