Computational study of thin films made from the ferroelectric materials with Paul Painlevé approach and expansion and variational methods.

In this paper, the thin-film ferroelectric material equation which enables a propagation of solitary polarization in thin-film ferroelectric materials, and it also can be described using the nonlinear evolution equations. Ferroelectrics are dielectric materials explain wave propagation nonlinear behaviors. Thin films made from the ferroelectric materials are used in various modern electronics devices.

Characteristics of the new multiple rogue wave solutions to the fractional generalized CBS-BK equation.

Introduction: The multiple Exp-function scheme is employed for searching the multiple soliton solutions for the fractional generalized Calogero-Bogoyavlenskii-Schiff-Bogoyavlensky- Konopelchenko equation.

Objectives: Moreover, the Hirota bilinear technique is utilized to detecting the lump and interaction with two stripe soliton solutions.

Methods: The multiple Exp-function scheme and also, the semi-inverse variational principle will be used for the considered equation.