Fig. 1. Propagations of FEAB at interface between linear and nonlinear media and in free space. (a) Propagation of FEAB at interface between linear and nonlinear media; (b) propagation of FEAB in free space

Fig. 2. Evolutions of light field for different values of d when A=2,p=1,g=2,v=0,and μ=0.02. (a)‒(h) Evolutions of FEAB at interface between linear and nonlinear media for different values of d; (i) oscillation trajectories of shedding soliton with different d; (j) dependence of localized transverse oscillation period T on d

Fig. 3. Evolution results of FEAB for different values of Lévy index α at d=-5, and other parameters are the same as Fig. 2.

Fig. 4. Evolution results of FEAB at interface between linear and nonlinear media for different nonlinear diffusion coefficients μ.

Fig. 5. Evolution results of FEAB at interface between linear and nonlinear media for different waveguide parameters p (other parameters are the same as Fig. 4). (a)‒(e) α=2; (f)‒(j) α=1

Fig. 6. Evolution results of FEAB at interface between linear and nonlinear media for different incident angles v. (other parameters are the same as Fig. 4). (a)‒(e) α=2; (f)‒(j) α=1

Fig. 7. Evolution results of FEAB at interface between linear and nonlinear media for different initial amplitudes A (other parameters are the same as Fig. 4). (a)‒(e) α=2; (f)‒(j) α=1