  Dispersion management of periodically alternating fiber sections with
opposite signs of two leading dispersion terms is applied for the regeneration
of self-accelerating truncated Airy pulses. It is demonstrated that for such a
dispersion management scheme, the direction of the acceleration of the pulse is
reversed twice within each period. In this scheme the system features light hot
spots in the center of each fiber section, where the energy of the light pulse
is tightly focused in a short temporal slot. Comprehensive numerical studies
demonstrate a long lasting propagation also under the influence of a strong
fiber Kerr nonlinearity.
