Knotted solitons in nonlinear magnetic metamaterials

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

Research output: Contribution to journalArticle

18 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 - Mar 30 2012
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Rosanov, N. N., Vysotina, N. V., Shatsev, A. N., Desyatnikov, A. S., & Kivshar, Y. S. (2012). Knotted solitons in nonlinear magnetic metamaterials. Physical Review Letters, 108(13), [133902].