  We report a new effect of a cascade replication of dissipative solitons from
a single one. It is discussed in the framework of a common model based on the
one-dimensional cubic-quintic complex Ginzburg-Landau equation in which an
additional linear term is introduced to account the perturbation from a
particular potential of externally applied force. The effect manifestation is
demonstrated on the light beams propagating through a planar waveguide. The
waveguide consists of a nonlinear layer able to guide dissipative solitons, and
a magneto-optic substrate. In the waveguide an externally applied force is
considered to be an inhomogeneous magnetic field which is induced by modulated
electric currents flowing along a set of direct conducting wires adjusted on
the top of the waveguide.
