Ring dark and anti-dark solitons in nonlocal media

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.

To appear in Optics Letters

References in corpus (3)

• Shocks in nonlocal media
• Gray spatial solitons in nonlocal nonlinear media
• Ordering of two small parameters in the shallow water wave problem

Cited by in corpus (8)

• Asymptotic Expansions and Solitons of the Camassa-Holm Nonlinear Schrodinger Equation
• Planar and Radial Kinks in Nonlinear Klein-Gordon Models: Existence, Stability and Dynamics
• Dynamics of interacting dark soliton stripes
• Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates
• Singular and regular vortices on top of a background pulled to the center
• Transverse instability and dynamics of nonlocal bright solitons
• Solitary Waves of the Two-Dimensional Camassa-Holm--Nonlinear Schrödinger Equation
• Shortcuts to adiabaticity for rapid soliton compression in nonlocal media