Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics
arXiv:1010.0391 · doi:10.1016/j.physleta.2010.09.019
Abstract
Quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons. It is shown that the energy conservation law provides the effective equations of motion of ring dark solitons for general form of the nonlinear term in the generalized nonlinear Schroedinger or Gross-Pitaevskii equation. Analytical theory is illustrated by examples of dynamics of ring solitons in light beams propagating through a photorefractive medium and in non-uniform condensates confined in axially symmetric traps. Analytical results agree very well with the results of our numerical simulations.
10 pages, 4 figures
References in corpus (6)
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- Robust Vortex Lines, Vortex Rings and Hopfions in 3D Bose-Einstein Condensates
- Dark-bright ring solitons in Bose-Einstein condensates
- Stabilization of ring dark solitons in Bose-Einstein condensates
- Motion of dark solitons in a non-uniform flow of Bose-Einstein condensate
- On the Bifurcation and Stability of Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates
- Exact Soliton-like Solutions of the Radial Gross-Pitaevskii Equation
- Pairwise Interactions of Ring Dark Solitons with Vortices and other Rings: Stationary States, Stability Features and Nonlinear Dynamics
- Dynamics of interacting dark soliton stripes
- Self-interference of a toroidal Bose-Einstein condensate
- Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates
- Reversible decay of ring dark solitons
- Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity