RESEARCH PAPER
New Solitary Waves for Thin-Film Ferroelectric Material Equation Arising in Dielectric Materials
1
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
2
Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov str., Lankaran, Azerbaijan
3
Computer Science Department, College of Education for Pure Sciences, University of Thi-Qar, Nasiriya, Iraq.
4
Department of Mathematics \& Statistics, N.S.S College of Commerce & Economics, University of Mumbai, Mumbai, Maharashtra, India
5
Department of Physics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
6
Sumgait State University, Sumgait, Azerbaijan
7
Ganja State University, Haydar Aliyev Ave., 429, Ganja, Azerbaijan
Submission date: 2023-08-11
Acceptance date: 2023-11-03
Online publication date: 2024-07-17
Publication date: 2024-09-01
Acta Mechanica et Automatica 2024;18(3):367-384
KEYWORDS
thin-film ferroelectric material equationferroelectrics are dielectric materialsmodified exponential Jacobi methodrational exp(−ϕ(η))-expansion methodsoliton solution
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.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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