  Using a coupled parametric-resonator array for generating and propagating a
topological soliton in its rotating-frame phase space is theoretically and
numerically investigated. In an analogy with the well-known phi4 model, the
existence of a soliton is topologically protected as the boundary of two
different phase domains of parametric oscillation. Numerical simulation
indicates that the propagation can be triggered by switching of the phase state
of one specific resonator, and the effects of damping, collision, and the
symmetry lifting by harmonic drive on the propagation dynamics are studied. The
topological soliton can be implemented by using electromechanical resonators,
which allow its propagation dynamics to be precisely electrically controlled
and provide a fully controlled on-chip test bed for the study of a topological
soliton.
