The higher-order, low-amplitude inertial Alfvén wave (IAW) dressed soliton and chaos are investigated in a magnetized plasma. In the linear limit, the dispersion relation for propagation of IAWs in plasmas is also obtained in the presence of electron thermal effects and illustrated numerically. It is found that the electron inertial length plays an important role for wave dispersion effects and its phase speed is increased on including the electron temperature in the model. The reductive perturbation method is employed to obtain the first-order IAW Korteweg–de Vries (KdV) soliton and second-order dressed soliton solutions analytically, which gives electron density dip (or rarefactive) structure and moves with super Alfvénic speed in plasmas. The numerical illustrations of the KdV and dressed IAW solitons are also presented by using the laboratory and space plasma parameters given in the literature. Furthermore, a numerical study of quasi-periodicity and chaotic behaviour of IAWs in the presence of external periodic force is also discussed in detail. The effects of plasma beta (which depends on plasma density, electron temperature, and magnetic field intensity) and obliqueness of the wave propagation on the formation of nonlinear Alfvénic wave structures have also been presented.

中文翻译：

---

等离子体中的高阶惯性阿尔文波修饰孤子、准周期结构和混沌

在磁化等离子体中研究了高阶、低振幅惯性阿尔文波 (IAW) 修饰孤子和混沌。在线性极限下，还得到了存在电子热效应的等离子体中 IAW 传播的色散关系并进行了数值说明。发现电子惯性长度对波色散效应起重要作用，并且随着模型中包含电子温度，其相速度增加。采用还原微扰法解析得到一阶IAW Korteweg-de Vries (KdV)孤子和二阶修饰孤子解，给出电子密度倾角（或稀有）结构，并在等离子体中以超阿尔芬速度运动。还使用文献中给出的实验室和空间等离子体参数给出了 KdV 和修整 IAW 孤子的数值说明。此外，还详细讨论了在存在外部周期力的情况下 IAW 的准周期性和混沌行为的数值研究。还介绍了等离子体β（取决于等离子体密度、电子温度和磁场强度）和波传播的倾斜度对非线性阿尔芬波结构形成的影响。