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

被引：0

作者：

Jianwen Cheng ^{[1
]}

Jalil Manafian ^{[2
]}

Gurpreet Singh ^{[3
]}

Anupam Yadav ^{[4
]}

Neha Kumari ^{[5
]}

Rohit Sharma ^{[6
]}

Baharak Eslami ^{[7
]}

Naief Alabed Alkader ^{[8
]}

机构：

[1] Hunan City University,College of Information and Electronic Engineering

[2] University of Tabriz,Department of Applied Mathematics, Faculty of Mathematical Sciences

[3] Lankaran State University,Natural Sciences Faculty

[4] Chitkara University,Department of Applied Sciences, Chitkara University Institute of Engineering and Technology

[5] GLA University,Department of Computer engineering and Application

[6] Jain University,Department of Physics, School of Sciences

[7] Vivekananda Global University,Department of Sciences

[8] Shobhit University,School of Engineering and Technology

[9] Arka Jain University,Department of Mechanical Engineering

[10] Payame Noor University,Department of Physics

[11] Plekhanov Russian University of Economics,Department of Sustainable Finance

来源：

Optical and Quantum Electronics | / 56卷 / 6期

关键词：

Hirota bilinear technique; Stability analysis; -Function approach; Travelling wave solutions;

D O I：

10.1007/s11082-024-06805-w

中图分类号：

学科分类号：

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(-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 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.

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