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.
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