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) Amplitude profiles for several values of vorticity m at z = 0, solutions are given by Eq. ( 12 ) with Eqs. ( 14 )–( 19 ); (b) wave center defined by Eq. ( 17 ) shown along propagation direction for different β 0; (c), (d) wave height and width defined by Eq. ( 12 ) shown along propagation direction for different σ 0 or different g 0. Other parameters are Ω = m =3, w 1 = w 2 = 4, σ = 1, P 0 = l 01 = l 02 = k 01 = k 02 = − β 0 = η 0 = 0.5.