Solitary wave dynamics of thin-film ferroelectric material equation

被引：22

作者：

Chu, Yu-Ming ^{[1
,2
]}

Arshed, Saima ^{[3
]}

Sadaf, Maasoomah ^{[3
]}

Akram, Ghazala ^{[3
]}

Maqbool, Maham ^{[3
]}

机构：

[1] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China

[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[3] Univ Punjab, Dept Math, Lahore 54590, Pakistan

来源：

RESULTS IN PHYSICS | 2023年 / 45卷

关键词：

Thin-film ferroelectric material equation; Riccati equation method; The extended sinh-Gordon equation expansion; method; Solitary waves;

D O I：

10.1016/j.rinp.2022.106201

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Ferroelectrics are dielectric materials which exhibit nonlinear behaviors. Thin films made from the ferroelectric materials are used various modern electronics devices. The propagation of solitary polarization in thin-film ferroelectric materials can be described using the nonlinear evolution equations. In this paper, the solitary wave dynamics of the thin-film ferroelectric material equation is investigated. The traveling wave transformation is employed along with the extended sinh-Gordon equation expansion method and the Riccati equation method to construct the soliton and other wave solutions of the thin-film ferroelectric material equation. The hyperbolic, trigonometric and rational function solutions are constructed along with the constraint conditions. A variety of soliton and other traveling wave solutions have been retrieved including kink solitons, bright solitons and periodic wave solutions. To understand the physical structure of the obtained solutions, graphical analysis is presented using 3D-plots, density-plots, and 2D-contours.

引用

页数：9

共 19 条

[1]

Akbar MA, 2019, ADV DIFFER EQU-NY, V2019, DOI 10.1186/s13662-019-2377-9

[2] The dynamical study of Biswas-Arshed equation via modified auxiliary equation method [J].

Akram, Ghazala ;

Sadaf, Maasoomah ;

Zainab, Iqra .

OPTIK, 2022, 255

[3] Abundant optical solitons for Lakshmanan-Porsezian-Daniel model by the modified auxiliary equation method [J].

Akram, Ghazala ;

Sadaf, Maasoomah ;

Khan, M. Atta Ullah .

OPTIK, 2022, 251

[4] Optical soliton solutions of the thin-film ferro-electric materials equation according to the Painleve approach [J].

Bekir, Ahmet ;

Zahran, Emad H. M. .

OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (02)

[5] Cubic-Quartic Optical Soliton Pertubation with Complex Ginzburg-Landau Equation [J].

Biswas, Anjan ;

Yildirim, Yakup ;

Ekici, Mehmet ;

Guggilla, Padmaja ;

Khan, Salam ;

Gonzalez-Gaxiola, O. ;

Alzahrani, Abdullah Khamis ;

Belic, Milivoj R. .

JOURNAL OF APPLIED SCIENCE AND ENGINEERING, 2021, 24 (06) :937-1004

[6] Solitons in thin-film ferroelectric material [J].

Hubert, Malwe Boudoue ;

Justin, Mibaile ;

Kudryashov, Nikolai A. ;

Betchewe, Gambo ;

Douvagai ;

Doka, Serge Y. .

PHYSICA SCRIPTA, 2018, 93 (07)

[7] Traveling wave solutions to some nonlinear fractional partial differential equations through the rational (G′/G)-expansion method [J].

Islam, Tarikul ;

Akbar, M. Ali ;

Azad, Abul Kalam .

JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2018, 3 (01) :76-81

[8]

Khater MMA, 2016, J APPL MATH BIOINFOR, V6, P37

[9] New closed form soliton and other solutions of the Kundu-Eckhaus equation via the extended sinh-Gordon equation expansion method [J].

Kumar, Dipankar ;

Manafian, Jalil ;

Hawlader, Faisal ;

Ranjbaran, Arash .

OPTIK, 2018, 160 :159-167

[10] Initial Value Problem for the Pair Transition Coupled Nonlinear Schrodinger Equations via the Riemann-Hilbert Method [J].

Peng, Wei-Qi ;

Tian, Shou-Fu ;

Zhang, Tian-Tian .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, 14 (03)

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