<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, the thin-film ferroelectric material equation (TFFME), which enables the propagation of solitary polarisation in thin-film ferroelectric materials is investigated, will be expressed through the non-linear evolution models. Ferroelectrics are dielectric materials that explain wave propagation non-linear demeanors. The non-linear wave propagation form is administrated by TFFME. To investigate the characterisations of new waves and solitonic properties of the TFFME, the modified exponential Jacobi technique and rational exp(−ϕ(η))-expansion technique are used. Plenty of alternative responses may be achieved by employing individual formulas; each of these solutions is offered by some plain graphs. The validity of such schemes and solutions may be exhibited by assessing how well the relevant schemes and solutions match up. The effect of the free variables on the manner of acting of reached plots to a few solutions in the exact forms was also explored depending upon the nature of non-linearities. The descriptive characteristics of the reached results are presented and analysed by some density, two- and three-dimensional figures. We believe that our results would pave the way for future research generating optical memories based on non-linear solitons.</p>
</abstract>

In this paper, the thin-film ferroelectric material equation (TFFME), which enables the propagation of solitary polarisation in thin-film ferroelectric materials is investigated, will be expressed through the non-linear evolution models. Ferroelectrics are dielectric materials that explain wave propagation non-linear demeanors. The non-linear wave propagation form is administrated by TFFME. To investigate the characterisations of new waves and solitonic properties of the TFFME, the modified exponential Jacobi technique and rational exp(−ϕ(η))-expansion technique are used. Plenty of alternative responses may be achieved by employing individual formulas; each of these solutions is offered by some plain graphs. The validity of such schemes and solutions may be exhibited by assessing how well the relevant schemes and solutions match up. The effect of the free variables on the manner of acting of reached plots to a few solutions in the exact forms was also explored depending upon the nature of non-linearities. The descriptive characteristics of the reached results are presented and analysed by some density, two- and three-dimensional figures. We believe that our results would pave the way for future research generating optical memories based on non-linear solitons.

New Solitary Waves for Thin-Film Ferroelectric Material Equation Arising in Dielectric Materials

Department of Applied Mathematics, Faculty of Mathematical Sciences

College of Education for Pure Sciences, University of Thi-Qar

Department of Mathematics \& Statistics, N.S.S College of Commerce & Economics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, the thin-film ferroelectric material equation (TFFME), which enables the propagation of solitary polarisation in thin-film ferroelectric...

New Solitary Waves for Thin-Film Ferroelectric Material Equation Arising in Dielectric Materials

Pubblicato online: 17 lug 2024

Pagine: 367 - 384

Ricevuto: 11 ago 2023

Accettato: 03 nov 2023

DOI: https://doi.org/10.2478/ama-2024-0041

Parole chiave
thin-film ferroelectric material equation, ferroelectrics are dielectric materials, modified exponential Jacobi method, rational exp(−ϕ(η))-expansion method, soliton solution

© 2024 Jalil Manafian et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

New Solitary Waves for Thin-Film Ferroelectric Material Equation Arising in Dielectric Materials

Pubblicato online: 17 lug 2024

Pagine: 367 - 384

Ricevuto: 11 ago 2023

Accettato: 03 nov 2023

DOI: https://doi.org/10.2478/ama-2024-0041

Parole chiavethin-film ferroelectric material equation, ferroelectrics are dielectric materials, modified exponential Jacobi method, rational exp(−ϕ(η))-expansion method, soliton solution

© 2024 Jalil Manafian et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Parole chiave
thin-film ferroelectric material equation, ferroelectrics are dielectric materials, modified exponential Jacobi method, rational exp(−ϕ(η))-expansion method, soliton solution