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EXPLORATION OF NONLINEAR SOLITON DYNAMICS, BIFURCATION, AND CHAOS OF THE COUPLED KLEIN-GORDON-ZAKHAROV SYSTEM | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 17 شهریور 1405 اصل مقاله (8.68 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70406.3498 | ||
| نویسندگان | ||
| Tobibur Rahman1؛ Md. Tarikul Islam1؛ M. Ali Akbar* 2 | ||
| 1Department of Mathematics, Hajee Mohammad Danesh Science and Technology University, Dinajpur, Bangladesh. | ||
| 21. Miyan Research Institute, International University of Business Agriculture and Technology, Dhaka, Bangladesh. 2. Department of Applied Mathematics, University of Rajshahi, Bangladesh. | ||
| چکیده | ||
| In this article, we investigate the nonlinear dynamical behavior of the coupled Klein-Gordon-Zakharov system, which models the interaction between high-frequency electric field oscillations and low-frequency ion-acoustic waves in plasma. Employing the improved auxiliary equation approach and the improved tanh method, a diverse range of exact soliton solutions, including localized W-shaped, singular, rational, bell-shaped, kink, and periodic waveforms, is constructed, each describing different modes of nonlinear wave propagation. The qualitative features of these solutions are analyzed through contour, two- and three-dimensional graphical representations, emphasizing the impact of parameter variations, particularly the wave speed, on amplitude, localization, and wave stability. Also, the accuracy of the derived exact wave solutions is successfully validated through independent numerical simulations using the finite difference method. A detailed bifurcation analysis based on planar dynamical systems theory is carried out to reveal multiple equilibrium configurations, such as centers and saddles, related to the transition between stable and unstable states. Furthermore, the formation of quasi-periodic and chaotic orbitals under external perturbations is demonstrated, indicating the nonlinear sensitivity of the system. Additionally, the modulation instability criteria are formulated to assess the stability of the steady-state regimes, and these theoretical conditions are computationally verified by perturbing the exact soliton. The results provide a detailed physical understanding of nonlinear plasma wave interactions, contributing to the development of advanced models for high-energy plasma wave modulation, energy transport, and controlled wave propagation. | ||
| کلیدواژه‌ها | ||
| Exact soliton solutions؛ modulation instability؛ finite difference method؛ bifurcation and chaos؛ improved auxiliary equation and improved tanh methods | ||
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آمار تعداد مشاهده مقاله: 89 تعداد دریافت فایل اصل مقاله: 115 |
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