Dark soliton based frequency dependent dielectric constant of ferroelectric materials

A model of one dimensional array of the slab domain of a ferroelectric crystal and its polarization with time and space is explained by nonlinear Klein Gorden (KG) equation. The present article has been shown the slower moving dark soliton and faster moving bright soliton both move in nonlinear system with dispersive frequency that has significant as characterized frequency of ferroelectric medium. It is also shown that the dark soliton has an important role to control the magnitude of dielectric constant of the medium. The frequency dependent dielectric constant is evaluated from the nonlinear Klein Gorden (NLKG) equation using characterized frequency and it matches with the experimental results.