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

Shao R. Y., Manafian J., İlhan O. A., Mahmoud K., Alreda B. A., Alsubaie A.

SCIENTIFIC REPORTS, cilt.16, ss.1-30, 2025 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16
  • Basım Tarihi: 2025
  • Dergi Adı: SCIENTIFIC REPORTS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, BIOSIS, Chemical Abstracts Core, MEDLINE, Veterinary Science Database, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1-30
  • Erciyes Üniversitesi Adresli: Evet

Özet

KABUL EDİLDİ

In this paper, the thin- lm ferroelectric material equation which enables a propagation of soli-

tary polarization in thin- lm ferroelectric materials, and it also can be described using the nonlinear

evolution equations. Ferroelectrics are dielectric materials explain wave propagation nonlinear be-

haviors. Thin lms made from the ferroelectric materials are used in various modern electronics

devices. The Paul-Painleve approach is adopted for the rst time to solve these nonlinear thin- lm

equation analytically. To investigate the characterizations of new waves, the solitary wave dynamics

of the thin- lm ferroelectric material equation are obtained using the standard tan(=2)-expansion

technique and generalized G-expansion method. The bright and periodic solutions are obtained by

semi-inverse variational principle scheme. Many alternative responses are achieved utilizing various

formulaes; each of these solutions is shown by a distinct graph. The validity of such methods and

solutions are demonstrated by assessing how well the relevant techniques and solutions match up.

Three novel analytical and numerical techniques provide new, dependable approaches for determin-

ing and estimating responses. The e ect of the free variables on the behavior of reached solutions to

a few of graphs on the exact solutions is also explored depending upon the nature of nonlinearities.

The simulations, which are exhibited in both two-dimensional (2D) and three-dimensional (3D),

depict the behavior of a solitary solution in both the natural and digital worlds. These ndings

demonstrate that this strategy is the most e ective way to solve nonlinear mathematical physics

problems.