Fig. 1. Transmission evolutions of AiG beam under different β for A₀=5, α=1, and χ₀=0.01, 0.1, 1. (a1)(b1)(c1) β=-12; (a2)(b2)(c2) β=-7; (a3)(b3)(c3) β=0; (a4)(b4)(c4) β=0.1; (a5)(b5)(c5) β=0.3; (a6)(b6)(c6) β=7; (a7)(b7)(c7) β=12

Fig. 2. Effects of linear coefficient β and Lévy index α on propagation of AiG beam under action of linear potential when χ₀=0.1. (a1)(b1)(c1)(d1) α=1; (a2)(b2)(c2)(d2) α=1.4; (a3)(b3)(c3)(d3) α=1.8; (a4)(b4)(c4)(d4) α=2

Fig. 3. Interaction evolution diagrams of dual AiG beams varying with spacing parameter B and relative phase δ when α=1.3, χ₀=0.1, and β=7. (a1)(b1)(c1)(d1)(e1)(f1) δ=-π2; (a2)(b2)(c2)(d2)(e2)(f2) δ=0; (a3)(b3)(c3)(d3)(e3)(f3) δ=

Fig. 4. Light intensity distribution diagrams of dual AiG beams at different transmission distances in a period under different δ when A₁=A₂=3, α=1.3, χ₀=0.1, β=7, and B=4. (a) δ=-π2; (b) δ=0; (c) δ=

Fig. 5. Interaction diagrams of dual AiG beams when δ=-π2 and δ=π2 for χ₀=0.1, B=4, and β=7.