Interaction between soliton and periodic solutions and the stability analysis to the Gilson-Pickering equation by bilinear method and exp(-θ(α))-function approach arising plasma physics

被引：0

作者：

Cheng, Jianwen ^{[1
]}

Manafian, Jalil ^{[2
,3
]}

Singh, Gurpreet ^{[4
]}

Yadav, Anupam ^{[5
]}

Kumari, Neha ^{[6
,7
]}

Sharma, Rohit ^{[8
,9
]}

Eslami, Baharak ^{[10
]}

Alkader, Naief Alabed ^{[11
]}

机构：

[1] Hunan City Univ, Coll Informat & Elect Engn, Yiyang 413000, Hunan, Peoples R China

[2] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

[3] Lankaran State Univ, Nat Sci Fac, 50 H Aslanov Str, Lankaran, Azerbaijan

[4] Chitkara Univ, Chitkara Univ Inst Engn & Technol, Dept Appl Sci, Rajpura, Punjab, India

[5] GLA Univ, Dept Comp Engn & Applicat, Mathura 281406, India

[6] Jain, Sch Sci, Dept Phys, Bengaluru 560069, Karnataka, India

[7] Vivekananda Global Univ, Dept Sci, Jaipur 303012, Rajasthan, India

[8] Shobhit Univ, Sch Engn & Technol, Gangoh 247341, Uttar Pradesh, India

[9] Arka Jain Univ, Dept Mech Engn, Jamshedpur 831001, Jharkhand, India

[10] Payame Noor Univ, Dept Phys, POB 19395-4697, Tehran, Iran

[11] Plekhanov Russian Univ Econ, Dept Sustainable Finance, Moscow 117997, Russia

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2024年 / 56卷 / 06期

基金：

英国科研创新办公室;

关键词：

Hirota bilinear technique; Stability analysis; exp(-theta(alpha))-Function approach; Travelling wave solutions; OPTIMIZATION;

D O I：

10.1007/s11082-024-06805-w

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The Gilson-Pickering equation, which describes wave propagation in plasma physics and the structure of crystal lattice theory that is most frequently used. The discussed model is converted into a bilinear form utilizing the Hirota bilinear technique. Sets of case study are kink wave solutions; breather solutions; collision between soliton and periodic waves; soliton and periodic waves. The exp(-theta(alpha))-function approach is employed to discover travelling wave solutions including five classes of solutions. In addition, it has been confirmed that the established findings are stable, and it has been helpful to validate the computations. The effect of the free variables on the behavior of obtained solutions to some plotted graphs for the exact cases is also explored depending upon the nature of nonlinearities. The exact solutions are utilized to demonstrate the physical natures of 3D, density, and 2D graphs.

引用

页数：23

共 3 条

[1] Interaction between soliton and periodic solutions and the stability analysis to the Gilson–Pickering equation by bilinear method and exp(-θ(α))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\exp (-\theta (\alpha ))$$\end{document}-function approach arising plasma physics
Jianwen Cheng
Jalil Manafian
Gurpreet Singh
Anupam Yadav
Neha Kumari
Rohit Sharma
Baharak Eslami
Naief Alabed Alkader
Optical and Quantum Electronics, 56 (6)
[2] Multi wave solutions and wave propagation in plasma physics over the Gilson-Pickering equation by modified extended tanh-function method
Qi, Yingnan
Manafian, Jalil
Sulieman, Kamal Mahir
Kumar, Anjan
Kumari, Neha
Sharma, Rohit
Fazli, Mehdi
Awad, Tarek
OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (06)
[3] Soliton solutions and stability analysis to the Hirota-bilinear-like model using the unified Riccati equation expansion approach
Nadeem, Muhammad
Abu Arqub, Omar
MODERN PHYSICS LETTERS B, 2025,

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