Ring dark and anti-dark solitons in nonlocal media
Optics
2016-04-20 v1 Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
Ring dark and anti-dark solitons in nonlocal media are found. These structures have, respectively, the form of annular dips or humps on top of a stable continuous-wave background, and exist in a weak or strong nonlocality regime, defined by the sign of a characteristic parameter. It is demonstrated analytically that these solitons satisfy an effective cylindrical Kadomtsev-Petviashvilli (aka Johnson's) equation and, as such, can be written explicitly in closed form. Numerical simulations show that they propagate undistorted and undergo quasi-elastic collisions, attesting to their stability properties.
Keywords
Cite
@article{arxiv.1601.07083,
title = {Ring dark and anti-dark solitons in nonlocal media},
author = {Theodoros P. Horikis and Dimitrios J. Frantzeskakis},
journal= {arXiv preprint arXiv:1601.07083},
year = {2016}
}
Comments
To appear in Optics Letters