New solitary waves for thin-film ferroelectric material equation arising in dielectric materials

• Autorzy: Manafian Jalil , Juadih Walla Rahim , Rao Amitha Manmohan , Eslami Baharak , Allahverdiyeva Natavan , Mustafayeva Parvin

Identyfikatory

DOI

10.2478/ama-2024-0041

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

thin-film ferroelectric material equation; ferroelectrics; dielectric materials; modified exponential Jacobi method; soliton solution

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2024
• Tom: Vol. 18, no. 3
• Strony: 367--384
• Opis fizyczny: Bibliogr. 49 poz., rys., tab., wykr.

Twórcy

autor

Manafian Jalil

• Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
• Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov str., Lankaran, Azerbaijan

• https://orcid.org/0000-0001-7201-6667

autor

Juadih Walla Rahim

• Computer Science Department, College of Education for Pure Sciences, University of Thi-Qar, Nasiriya, Iraq.

• https://orcid.org/0009-0001-5112-7496

autor

Rao Amitha Manmohan

• Department of Mathematics \& Statistics, N.S.S College of Commerce & Economics, University of Mumbai, Mumbai, Maharashtra, India

• https://orcid.org/0000-0003-2361-7778

autor

Eslami Baharak

• Department of Physics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran

• https://orcid.org/0000-0002-6723-1909

autor

Allahverdiyeva Natavan

• Sumgait State University, Sumgait, Azerbaijan

• https://orcid.org/0000-0002-5600-2385

autor

Mustafayeva Parvin

• Ganja State University, Haydar Aliyev Ave., 429, Ganja, Azerbaijan

• https://orcid.org/0000-0001-7412-3458

Bibliografia

• 1. Zhou X, Ke Q, Tang S, Luo J, Lu Z. Ultraviolet photodetectors based on ferroelectric depolarization field. Journal of Energy Chemistry. 2023;77:487-98.
• 2. Xiao X, Xu X, Lu Z, Zhao J, Liu R, Ye Y, Tang R, Liao WQ, Xiong RG, Zou, G. In-situ organic-inorganic ferroelectric layer growth for ef-ficient perovskite solar cells with high photovoltage. Nano Energy. 2023;107:108114.
• 3. Umoh GV, Holguín-Momaca JT, Talamantes RP, Rojas-George G, Herrera-Pérez G, Antón RL, Aguirre-Tostado FS, Auciello O, Olive-Méndez, SF, Hurtado-Macias A. Influence of ex-situ thermal treat-ment on the chemical states, microstructure and ferroelectrics prop-erties of polycrystalline BiMnO_3-δ thin films. Thin Solid Films. 2022 August 31;756:139362.
• 4. Tarnaoui M, Zaim N, Zaim A, Kerouad M. Investigation of the thermal and ferroelectric properties of a Spin-1 Ising thin film: Insight from path integral Monte Carlo. Materials Science and Engineering B. 2023;288:116204.
• 5. Yang ST, Li XY, Yu TL, Wang J, Fang H, Nie F, He B, Zhao L, Lü WM, Yan SS, Nogaret A, Liu G, Zheng LM. High-performance neu-romorphic computing based on ferroelectric synapses with excellent conductance linearity and symmetry. Advanced Functional Materials. 2022;32:2202366.
• 6. Zhang J, Wang X, Zhou L, Liu G, Adroja DT, Silva I, Demmel F, Khalyavin D, Sannigrahi J, Nair HS, Duan L, Zhao J, Deng Z, Yu R, Shen X, Yu R, Zhao H, Zhao J, Long Y, Hu Z, Lin HJ, Chan TS, Chen CT, Wu W, Jin C. A ferrotoroidic candidate with well-separated spin chain. Advanced Materials. 2022;34:2106728.
• 7. Hubert MB, Justin M, Kudryashov NA, Betchewe G, Douvagai, Doka SY. Solitons in thin-film ferroelectric material. Physica Scripta. 2018;93:075201.
• 8. Zahran EH, Alizamini SMM, Shehata MSM, Rezazadeh H, Ahmad H. Study on abundant explicit wave solutions of the thin-film ferroelectric materials equation. Optical and Quantum Electronics. 2022;54(1):48.
• 9. Bekir A, Zahran EHM. Optical soliton solutions of the thin-flm ferroe-lectric materials equation according to the Painlevé approach. Optical and Quantum Electronics. 2021;53(2):118.
• 10. Gu Y, Zia SM, Isam M, Manafian J, Hajar A, Abotaleb M. Bilinear method and semi-inverse variational principle approach to the gener-alized (2+1)-dimensional shallow water wave equation. Results in Physics. 2023;45:106213.
• 11. Gu Y, Malmir S, Manafian J, Ilhan OA, Alizadeh A, Othman AJ (2022). Variety interaction between k-lump and k-kink solutions for the (3+1)-D Burger system by bilinear analysis. Results in Physics. 2022;43:106032.
• 12. Yao SW, Akram G, Sadaf M, Zainab I, Rezazadeh H, Inc M. Bright, dark, periodic and kink solitary wave solutions of evolutionary Zoom-eron equation. Results in Physics. 2022 December;43:106117.
• 13. Manafian J, Lakestani M. N–lump and interaction solutions of local-ized waves to the (2+1)-dimensional variable-coefficient Caudrey–Dodd-Gibbon-Kotera-Sawada equation. Journal of Geometry and Physics. 2020;150:103598.
• 14. Manafian J, Mohammed SA, Alizadeh A, Baskonus HM, Gao W. Investigating lump and its interaction for the third–order evolution equation arising propagation of long waves over shallow water. Eu-ropean Journal of Mechanics-B/Fluids. 2020;84:289-301.
• 15. Rao X, Manafian J, Mahmoud KH, Hajar A, Mahdi AB, Zaidi M. (2022). The nonlinear vibration and dispersive wave systems with ex-tended homoclinic breather wave solutions. Open Physics. 2022;20:795-821.
• 16. Alimirzaluo E, Nadjafikhah M, Manafian J. Some new exact solutions of (3+1)-dimensional Burgers system via Lie symmetry analysis. Ad-vances in Differential Equations. 2021;2021(60):1-17.
• 17. Xiao Y, Fan E, Liu P. Inverse scattering transform for the coupled modified Korteweg–de Vries equation with nonzero boundary condi-tions. Journal of Mathematical Analysis and Applica-tions.2021;504:125567.
• 18. Wu W, Manafian J, Ali KK, Karakoç SBG, Taqik AH, Mahmoud MA. Numerical and analytical results of the 1D BBM equation and 2D coupled BBM-system by finite element method. International Journal of Modern Physics B. 2022;36(28):2250201.
• 19. Pan Y, Manafian J, Zeynalli SM, Al-Obaidi R, Sivaraman R, Kadi A. N-Lump Solutions to a (3+1)-Dimensional Variable-Coefficient Gen-eralized Nonlinear Wave Equation in a Liquid with Gas Bubbles. Qualitative Theory of Dynamical Systems. 2022;21:127.
• 20. Shen X, Manafian J, Jiang M, Ilhan OA, Shafikk SS, Zaidi M. Abun-dant wave solutions for generalized Hietarinta equation with Hirota’s bilinear operator. Modern Physics Letters B. 2022;36(10):2250032.
• 21. Li R, Ilhan OA, Manafian J, Mahmoud KH, Abotaleb M, Kadi A. A Mathematical Study of the (3+1)-D Variable Coefficients Generalized Shallow Water Wave Equation with Its Application in the Interaction between the Lump and Soliton Solutions. Mathematics. 2022;10:3074.
• 22. Gu Y, Manafian J, Mahmoud MZ, Ghafel ST, Ilhan OA. (2021). New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes. International Journal of Nonlinear Sciences and Numerical Simulation. 2021, https://doi.org/10.1515/ijnsns-2021-0443.
• 23. Singh S, Sakkaravarthi K, Murugesan K. Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model. Chaos, Solitons and Frac-tals. 2023;167:113058.
• 24. Sherazi K, Sheikh N, Anjum M, Raza AG. Solar drying experimental research and mathematical modelling of wild mint and peach mois-ture content. Journal of Asian Scientific Research. 2023;13(2):94-107.
• 25. Ogunjiofor EI, Ayodele FO. Utilization of response surface methodol-ogy in optimization of locally sourced aggregates. Journal of Asian Scientific Research. 2023;13(1):54-67.
• 26. Rai A, Mohanty B, Agarwal S. Mathematical modeling and simulation of fluidized bed gasifier: Application to Indian coal. Iranian Journal of Chemistry and Chemical Engineering. 2023;42(1):269-85.
• 27. Ma H. (2021, January). Research on promotion of lower limb move-ment function recovery after stroke by using lower limb rehabilitation robot in combination with constant velocity muscle strength training. In 2021 7th International Symposium on Mechatronics and Industrial Informatics. 2021 January;70-73. IEEE
• 28. Faridi WA, Abu Bakar M, Myrzakulova Z, Myrzakulov R, Akgül A, El Din SM. The formation of solitary wave solutions and their propaga-tion for Kuralay equation. Results in Physics. 2023;52:106774.
• 29. Faridi WA, Asghar U, Asjad MI, Zidan AM, ElDin SM. Explicit propa-gating electrostatic potential waves formation and dynamical as-sessment of generalized Kadomtsev-Petviashvili modified equal width-Burgers model with sensitivity and modulation instability gain spectrum visualization. Results in Physics. 2023 January;44:106167.
• 30. Faridi WA, Asjad MI, Jhangeer A, Yusuf A, Sulaiman TA. The weakly non-linear waves propagation for Kelvin-Helmholtz instability in the magnetohydrodynamics flow impelled by fractional theory. Optical and Quantum Electronics. 2023;55:172.
• 31. Faridi WA, Asjad MI, ElDin SM. Exact Fractional Solution by Nucci’s Reduction Approach and New Analytical Propagating Optical Soliton Structures in Fiber-Optics. Fractal and Fractional. 2022 November 5;6(11):654.
• 32. Faridi WA, Abu Bakar M, Akgül A, El-Rahman MA, ElDin SM. Exact fractional soliton solutions of thin-film ferroelectric material equation by analytical approaches. Alexandria Engineering Journal. 2023 Sep-tember 1;78:483-97.
• 33. Faridi WA, Asjad MI, Toseef M, Amjad T. Analysis of propagating wave structures of the cold bosonic atoms in a zig-zag optical lattice via comparison with two different analytical techniques. Optical and Quantum Electronics. 2022;54:773.
• 34. Chen D, Li Z. New optical soliton solutions of thin-film ferroelectric material equation via the complete discrimination system method. Results in Physics. 2023 July;50:106551.
• 35. Li Z, Peng C. Bifurcation, phase portrait and traveling wave solution of time-fractional thin-film ferroelectric material equation with beta fractional derivative. Physics Letters A. 2023 October 5;484:129080.
• 36. Safi Ullah M, Or-Roshid H, Ali MZ, Rezazadeh H. Kink and breather waves with and without singular solutions to the Zoomeron model. Results in Physics. 2023;49:106535.
• 37. Kallel W, Almusawa H, Alizamini SMM, Eslami M, Rezazadeh H, Osman MS. Optical soliton solutions for the coupled conformable Fokas-Lenells equation with spatio-temporal dispersion. Results in Physics. 2021;26:104388.
• 38. Vahidi J, Zabihi A, Rezazadeh H, Ansari R. New extended direct algebraic method for the resonant nonlinear SchrÖdinger equation with Kerr law nonlinearity. Optik. 2021 February ;227:169936.
• 39. Amir M, Haider JA, Ul Rahman J, Ashraf A. Solutions of the nonlinear evolution problems and their application. Acta Mechanica et Auto-matica. 2023;17(3):357-63.
• 40. Amir M, Haider JA, Ahmad S, Gul S, Ashraf A. Approximate solution of Painlevé equation I by natural decomposition method and Laplace decomposition method. Acta Mechanica et Automatica. 2023;17(3):417-22.
• 41. Manafian J. An optimal Galerkin-homotopy asymptotic method applied to the nonlinear second-order BVPs. Proceedings of the Insti-tute of Mathematics and Mechanics. 2021;47(1):156-82.
• 42. Manafian J, Allahverdiyeva N. An analytical analysis to solve the fractional differential equations. Advanced Mathematical Models & Applications. 2021;6(2):128-61.
• 43. Li R, Bu Sinnah ZA, Shatouri ZM, Manafian J, Aghdaei MF, Kadi A. Different forms of optical soliton solutions to the Kudryashov’s quin-tuple self-phase modulation with dual-form of generalized nonlocal nonlinearity. Results in Physics. 2023;46:106293.
• 44. Ali NH, Mohammed SA, Manafan J. New explicit soliton and other solutions of the Van der Waals model through the ESHGEEM and the IEEM. Journal of Modern Technology and Engineering. 2023;8(1):5-18.
• 45. Aldhabani MS, Nonlaopon K, Rezaei S, Bayones FS, Elagan SK, El-Marouf SAA. Abundant solitary wave solutions to a perturbed Schrodinger equation with Kerr law nonlinearity via a novel approach. Results in Physics. 2022 April;35:105385.
• 46. Aghazadeh MR, Asgari T, Shahi A, Farahm A. Designing strategy formulation processing model of governmental organizations based on network governance. Quarterly Journal of Public Organizations Management. 2016;4(1):2952.
• 47. Gholamiangonabadi D, Nakhodchi S, Jalalimanesh A, Shahi A. Customer churn prediction using a metaclassifier approach; A case study of Iranian banking industry. Proceedings of the International Conference on Industrial Engineering and Operations Management. 2019:364375.
• 48. Gaur M, Singh K. Lie group of transformations for time fractional Gardner equation. AIP Conf Proc. 2022;2357:090006.
• 49. Aneja M, Gaur M, Bose T, Gantayat PK, Bala R. Computer-Based Numerical Analysis of Bioconvective Heat and Mass Transfer Across a Nonlinear Stretching Sheet with Hybrid Nanofluids. In: Bhateja, V., Yang, XS., Ferreira, M.C., Sengar, S.S., Travieso-Gonzalez, C.M. (eds) Evolution in Computational Intelligence. FICTA 2023. Smart In-novation. Systems and Technologies. Vol 370. Springer. Singapore. https://doi.org/10.1007/978-981-99-6702-5 55.