Spontaneous knotting of self-trapped waves

Anton S. Desyatnikov, Daniel Buccoliero, Mark R. Dennis, Yuri S. Kivshar

Research output: Contribution to journalArticle (Academic Journal)peer-review

24 Citations (Scopus)


We describe theory and simulations of a spinning optical soliton whose propagation spontaneously excites knotted and linked optical vortices. The nonlinear phase of the self-trapped light beam breaks the wave front into a sequence of optical vortex loops around the soliton, which, through the soliton's orbital angular momentum and spatial twist, tangle on propagation to form links and knots. We anticipate similar spontaneous knot topology to be a universal feature of waves whose phase front is twisted and nonlinearly modulated, including superfluids and trapped matter waves.

Original languageEnglish
Article number771
Pages (from-to)-
Number of pages7
JournalScientific Reports
Publication statusPublished - 25 Oct 2012


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