Non-linear dynamical behaviour of electron acoustic waves (EAWs) is studied in a magnetized non-thermal plasma (containing inertial cold electrons, inertialess hot electrons following non-thermal distribution function, and static ions) via a fluid dynamical approach. A linear dispersion relation is derived and the propagation of two possible modes and their evolution are studied through the different plasma configuration parameters, such as non-thermality and external magnetic field strength. In a non-linear perturbation regime, a reductive perturbation technique is employed to derive the non-linear evolution equation and the analysis is executed for travelling plane waves in terms of a non-linear dynamical system to enlighten the numerous aspects of the phase space dynamics. The results of numerical simulation predict the existence of a wide class of non-linear structures, namely solitonic, periodic, quasiperiodic, and chaotic depending upon different controlling plasma parameters. Also, Poincaré return map analysis confirms these non-linear structures of the EAWs.

中文翻译：

---

具有非热热电子的磁化等离子体中电子声波动力学的非线性行为

通过流体动力学方法在磁化非热等离子体（包含惯性冷电子、遵循非热分布函数的无惯性热电子和静态离子）中研究电子声波 (EAW) 的非线性动力学行为。推导出线性色散关系，并通过不同的等离子体配置参数（如非热性和外部磁场强度）研究两种可能模式的传播及其演变。在非线性微扰状态下，采用还原微扰技术推导出非线性演化方程，并根据非线性动力学系统对行进平面波进行分析，以启发相空间动力学的众多方面. 数值模拟的结果预测存在多种非线性结构，即孤子、周期、准周期和混沌，这取决于不同的控制等离子体参数。此外，庞加莱回归图分析证实了 EAW 的这些非线性结构。