Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics
In the ongoing work, the (n+1n+1)-dimensional modified Zakharov–Kuznetsov equation is discussed, which characterizes the dispersive and ion acoustic wave propagation in plasma physics. The main research content is to analyze the chaotic dynamics of the equation and provide some new traveling wave so...
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De Gruyter
2025-06-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2025-0159 |
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| author | Zhao Shan Feng Jun |
| author_facet | Zhao Shan Feng Jun |
| author_sort | Zhao Shan |
| collection | DOAJ |
| description | In the ongoing work, the (n+1n+1)-dimensional modified Zakharov–Kuznetsov equation is discussed, which characterizes the dispersive and ion acoustic wave propagation in plasma physics. The main research content is to analyze the chaotic dynamics of the equation and provide some new traveling wave solutions. The studied equation is transformed into an ordinary differential equation by using traveling wave transformation. The bifurcation theory, Lyapunov exponent, and sensitivity of initial value condition are employed to analyze the chaotic behavior and stability of the equation. Furthermore, by utilizing the integral form of the equation and complete discrimination system for polynomial method, some new exact solutions are given, including rational, trigonometric, hyperbolic, and Jacobi elliptic function solutions. To examine the properties and shapes of the solutions, some two- and three-dimensional graphs are given with the aid of MATLAB software under appropriate parameters intuitively. |
| format | Article |
| id | doaj-art-94b00d83f08f48d7b037b5134b1da0b3 |
| institution | Kabale University |
| issn | 2391-5471 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj-art-94b00d83f08f48d7b037b5134b1da0b32025-08-20T03:45:15ZengDe GruyterOpen Physics2391-54712025-06-012311009665410.1515/phys-2025-0159Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physicsZhao Shan0Feng Jun1School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, Sichuan 610106, ChinaGeomathematics Key Laboratory of Sichuan Province (Chengdu University of Technology), Chengdu, 610059, ChinaIn the ongoing work, the (n+1n+1)-dimensional modified Zakharov–Kuznetsov equation is discussed, which characterizes the dispersive and ion acoustic wave propagation in plasma physics. The main research content is to analyze the chaotic dynamics of the equation and provide some new traveling wave solutions. The studied equation is transformed into an ordinary differential equation by using traveling wave transformation. The bifurcation theory, Lyapunov exponent, and sensitivity of initial value condition are employed to analyze the chaotic behavior and stability of the equation. Furthermore, by utilizing the integral form of the equation and complete discrimination system for polynomial method, some new exact solutions are given, including rational, trigonometric, hyperbolic, and Jacobi elliptic function solutions. To examine the properties and shapes of the solutions, some two- and three-dimensional graphs are given with the aid of MATLAB software under appropriate parameters intuitively.https://doi.org/10.1515/phys-2025-0159nonlinear partial differential equationbifurcation theorylyapunov exponentsensitivity analysiscomplete discrimination system |
| spellingShingle | Zhao Shan Feng Jun Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics Open Physics nonlinear partial differential equation bifurcation theory lyapunov exponent sensitivity analysis complete discrimination system |
| title | Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics |
| title_full | Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics |
| title_fullStr | Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics |
| title_full_unstemmed | Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics |
| title_short | Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics |
| title_sort | chaotic dynamics and some solutions for the n 1 dimensional modified zakharov kuznetsov equation in plasma physics |
| topic | nonlinear partial differential equation bifurcation theory lyapunov exponent sensitivity analysis complete discrimination system |
| url | https://doi.org/10.1515/phys-2025-0159 |
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