Compression and stretching of ring-vortex solitons in a bulk nonlinear medium
Lai Xian-Jing†a),b), Cai Xiao-Oub), Zhang Jie-Fanga),c)
       
(a) Diffraction coefficient β ( z ), the profile coefficient f ( z ) and the nonlinear parameter χ ( z ) change along propagation direction; (b) the central positions, the phase offset, the frequency shift, and the phase-front curvature along propagation direction; (c) self-similar propagation dynamics of the vortex with loss g 0 = −0.01 for the diffraction decreasing waveguide. The initial values are given by Eq. ( 12 ) with an added 5% white noise. Other conditions and parameters are the same as Fig.  1 .