Since the zeroth-order Bessel and Airy function are invariant propagation modes in free space, they can be potentially
used not only in time but also in space. Different from nonlinear solitary wave, Airy-Bessel configuration wave packets
with particle-like nature are a kind of stable linear wave packets without spatio-temporal spread during propagation in
free space because it combine spatial Bessel beams with temporal Airy pulses. In the paper, by studying spatially
induced group velocity dispersion effect during propagation of ultrashort pulsed Bessel beams, we find that Gaussian-
Bessel wave packets can evolve as Airy-Bessel in given propagation conditions. The research results are expected to
open up one new channel to generate stable linear localized wave packets.
We investigate the existence, stability and propagation dynamics of spatial solitons supported by
an interface separating 1D different-order Bessel optical potentials. The profiles of surface solitons
are determined by the order and the modulation depth of Bessel potential. Influences of the order
and modulation depth of Bessel potential besides the interface on the stability of surface solitons are
discussed. We show that the surface solitons supported by present model have a wide stability region
in their existence domain even for higher-order Bessel potential or the difference of the order of Bessel
function on the opposite side of the interface is relatively large (e.g. nl = 2, nr = 5). The experimental
realization of the model we discussed is also proposed. Numerical simulation of the propagation of
surface solitons verifies our stability analysis. This study may enrich the concept of optical surface
soliton.
Dynamics of (1+1)D spatial solitons in photorefractive medium with drift and diffusion nonlinearity
is investigated. Propagation of solitons is analyzed theoretically by means of effective-particle approach
method. The explicit formula of acceleration of soltion is derived. Analytical results show that the solitons
evolve with a constant acceleration along a parabolic trajectory. The acceleration is determined by the
input soliton and the diffusion nonlinearity. We also simulate the propagation of solitons numerically and
excellent agreements are obtained between the theoretical and numerical results.
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