IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Poruba, Czech Republic.
Department of Mathematics, Namal University, Mianwali, Pakistan.
PLoS One. 2024 Oct 7;19(10):e0306319. doi: 10.1371/journal.pone.0306319. eCollection 2024.
This study examines the extended version of the Zakharov system characterizing the dispersive and ion acoustic wave propagation in plasma. The genuine, non-dispersive field depicts a shift in plasma ion density from its equilibrium state, whereas the complex, dispersive field depicts the fluctuating envelope of a highly oscillatory field of electricity. The main focus of the analysis is on employing the expanded Fan sub-equation approach to achieve some novel travelling wave structures including the explicit, periodic, linked wave, and other new exact solutions are developed for different values of this parameter. Three dimensional graphs are utilised to examine the properties of the obtained solutions. Furthermore, ideas from planar dynamical theory are applied in this work to analyse the intricate behaviour of the analysed model. Sensitivity analysis, multistability, quasi-periodic and chaotic patterns, Poincaré map, and the Lyapunov characteristic exponent are used to analyse the dynamical features.
本研究考察了描述等离子体中弥散和离子声波传播的 Zakharov 系统的扩展版本。真实的、非弥散场描述了等离子体离子密度从其平衡状态的偏移，而复杂的、弥散场描述了高度振荡电场的波动包络。分析的主要重点是采用扩展的 Fan 亚方程方法来实现一些新的行波结构，包括显式、周期、链接波，以及针对该参数不同值开发的其他新精确解。三维图用于研究所得解的性质。此外，本工作还应用平面动力理论的思想来分析所分析模型的复杂行为。敏感性分析、多稳定性、准周期和混沌模式、庞加莱映射和李雅普诺夫特征指数用于分析动力学特征。
