In this paper, the effect of generalized (r, q) distributed electrons on the linear and nonlinear coupling of drift and ion acoustic waves in a nonuniform plasma containing Hydrogen and Oxygen ions is investigated. In the linear regime, it is observed that increasing the percentage of flat-topped (i.e. r > 0) electrons enhances the frequency of the coupled drift-ion acoustic waves, whereas the increasing values of the spectral index q mitigates it. In the nonlinear regime, one- and two-dimensional Korteweg de Vries-like and Kadomtsev-Petviashvili-like equations are derived and their solutions are plotted for different ratios of ion number densities and for different values of double spectral indices r and q of the generalized distribution of electrons. It is found that only rarefactive structures exist for two-dimensional solitons, however, both rarefactive and compressive structures are observed for the one-dimensional case. The limiting cases of kappa and Maxwellian distributions are also discussed and their comparison with the generalized (r, q) distribution is thoroughly investigated. Spatial scales for the formation of rarefactive and compressive solitary structures are also discussed with reference to the changing electron distribution functions. The possible applications of the present study are also spelled out with special reference to space plasmas.

中文翻译：

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非均匀磁化 O 中的二维漂移孤立结构？具有广义 (r, q) 分布电子的 H 离子等离子体

本文研究了广义( r , q ) 分布电子对含氢和氧离子的非均匀等离子体中漂移和离子声波的线性和非线性耦合的影响。在线性状态下，观察到增加平顶（即r  > 0）电子的百分比会提高耦合漂移离子声波的频率，而增加光谱指数q 的值会减轻它。在非线性状态下，导出了一维和二维 Korteweg de Vries 和 Kadomtsev-Petviashvili 类方程，并针对不同的离子数密度比和不同的双光谱指数r和q电子的广义分布。发现二维孤子只存在稀薄结构，而一维情况下同时观察到稀薄结构和压缩结构。还讨论了 kappa 和麦克斯韦分布的极限情况，并彻底研究了它们与广义 ( r , q ) 分布的比较。还参考不断变化的电子分布函数讨论了形成稀有和压缩孤立结构的空间尺度。本研究的可能应用还特别提到了空间等离子体。