Fig. 1. Propagation trajectories of Airy beam with different values of the initial launch angle in linear regime. (a) v=-1; (b) v=0; (c) v=1

Fig. 2. Formation of Airy solitons with different initial beam amplitudes. (a) u0=1; (b) u0=2; (c) u0=3; (d) u0=4

Fig. 3. Oscillation of the soliton peak intensity with different values of (a) initial amplitudes u0 and (b) decay coefficient a; and average peak intensity as the function of (c) u0 and (d) a

Fig. 4. Evolution of soliton intensities and the intensity profiles of soliton at the location of red dashed line corresponding to Fig. 4(a1)-(c1). (a) v=-1; (b) v=0; (c) v=1

Fig. 5. Stable propagation of Airy solitons. (a) Profiles of the perturbed incident beam intensity and propagation dynamics of the incident beams under the conditions of σnoise2=0.04, u0=3.0 and a=0.1; (b) profiles of the perturbed incident beam intensity and propagation dynamics of the incident beams under the conditions of σnoise2=0.04, u0=4.0 and a=0.2

Fig. 6. Interaction of two in-phase incident Airy beams with different launch angles and interval factors

Fig. 7. Interaction of two out-of-phase incident Airy beams with different launch angles and interval factors