Solitary wave dynamics of thin-film ferroelectric material equation

Ferroelectrics are dielectric materials which exhibit nonlinear behaviors. Thin films made from the ferroelectric materials are used various modern electronics devices. The propagation of solitary polarization in thin-film ferroelectric materials can be described using the nonlinear evolution equations. In this paper, the solitary wave dynamics of the thin-film ferroelectric material equation is investigated. The traveling wave transformation is employed along with the extended sinh-Gordon equation expansion method and the Riccati equation method to construct the soliton and other wave solutions of the thin-film ferroelectric material equation. The hyperbolic, trigonometric and rational function solutions are constructed along with the constraint conditions. A variety of soliton and other traveling wave solutions have been retrieved including kink solitons, bright solitons and periodic wave solutions. To understand the physical structure of the obtained solutions, graphical analysis is presented using 3D-plots, density-plots, and 2D-contours.