1994/07/01 by Yuri S. Kivshar, Xiaoping Yang · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
paper · doi:10.1103/physreve.50.r40
openalex publication_date 1994/07/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/26
Self-defocusing nonlinear media can support dark solitary waves with ring symmetry that are robust but slowly change their parameters. This alternative type of optical dark soliton is investigated numerically and analytically, and it is shown that in the small-amplitude limit such solitons are described by the so-called cylindrical Korteweg--de Vries equation known, e.g., from plasma physics. Ring dark solitons may coexist with other types of dark solitons, displaying almost an elastic interaction.