Fig. 1. Propagation of single AiGB in saturable nonlinear medium under fractional effect when u₀=3, g=0.01, b=0.2. (a) α=2, β=0; (b) α=2, β=2; (c) α=1, β=0; (d) α=1, β=2

Fig. 2. Evolution of single AiGB under different β when u₀=3, g=0.01, α=1, b=0.2. (a) β=-2; (b) β=1; (c) β=3; (d) β=5

Fig. 3. Soliton characteristic parameters varying with α when u₀=3, g=0.01, β=2, b=0.2. (a) Oscillation curve of soliton peak intensity under different α; (b) soliton mean peak intensity varying with α; (c) oscillation curve of soliton width under different α; (d) mean soliton width varying with α

Fig. 4. Soliton characteristic parameters varying with g and b. (a) Oscillation curve of soliton peak intensity under different g when u₀=3, α=1, β=2, b=0.2; (b) soliton mean peak intensity varying with g when u₀=3, α=1, β=2, b=0.2; (c) oscillation curve of soliton peak intensity under different b when u₀=3, α=1, β=2, g=0.01; (d) soliton mean peak intensity varying with b when u₀=3, α=1, β=2, g=0.01

Fig. 5. [in Chinese]

Fig. 6. Interaction of two AiGBs with different saturable nonlinear strength parameters and Lévy indexes when u₁ =u₂=3, g=0.01, d=2, b=0.2. (a1)-(e2) In-phase; (a3)-(e4) out-of-phase