Using the Euler-Lagrange dynamics of the Landau-Ginzburg-Devonshire functional for homogeneous ferroelectric chain in the spatial continuous limit, (1 + 1)D-nonlinear Klein-Gordon-Fock equation has been derived. Elementary four-terminal network of this ferroelectric chain has been considered as a Hamiltonian system corresponding to the point mass in the effective nonlinear potential. Expressing all parameters of automodeling solution of the nonlinear Klein-Gordon-Fock via energy of this Hamiltonian system we have extended the Witham modulation theory. Obtained results can be applied to the computer aided design of phase shifters in phased-array antennas for a new generation of information processing and transmission systems based on integrated ferroelectrics.