Abstract
Analytical solution of the controllable self-accelerating and self-decelerating Airy-Ince-Gaussian wave packets in strongly nonlocal nonlinear media is investigated theoretically by solving the (3+1)D Schrödinger equation in cylindric coordinates. The ratio of the input power and the critical power, the initial velocity and the ellipticity effect the solutions.Thecontrollable self-accelerating and self-decelerating Airy-Ince-Gaussian wave packets are constructed by the Ince-Gaussian(IG) beams and the Airy pulses with initial velocity in temporal domain and in spatial domainrespectively.
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