The present investigation is dedicated to the study of propagation characteristics of electron acoustic (EA) waves and double layers in the quantum plasma system containing inertialess hot electrons and inertial cold electrons with stationary ions forming the charge neutralizing background. It is assumed that hot electrons follow κ-deformed Kaniadakis distribution as governed by the parameter κ. Using the appropriate stretched coordinates and reductive perturbation method (RPM) the Korteweg-de Vries (KdV) and modified KdV (mKdV) equations have been derived. For the sake of analysis, a limit of range of deformation parameter (κ) has been set as -0.4≤κ≤0.4. For the defined range, it has been observed that plasma system supports rarefactive solitary structures. The amplitude and width of KdV soliton have been significantly affected by the quantum effects and remains unaffected by the deformation parameter (κ). The analysis was further extended to the derivation of mKdV equation to investigate the existence of small amplitude double layers (DLs). Only negative potential DLs are found to exist whose dynamics significantly depends on deformation parameter (κ), quantum effects (H) and hot to cold electron density ratio (α). The outcome of the present discourse may be helpful to understand the use of generalized entropies in the environment of plasma physics

中文翻译：

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具有 κ 变形 Kaniadakis 分布电子的量子电子声孤子和双层

本研究致力于研究包含无惯性热电子和惯性冷电子的量子等离子体系统中电子声 (EA) 波和双层的传播特性，固定离子形成电荷中和背景。假设热电子遵循 κ 变形的 Kaniadakis 分布，由参数 κ 控制。使用适当的拉伸坐标和还原扰动方法 (RPM)，Korteweg-de Vries (KdV) 和修正的 KdV (mKdV) 方程已经推导出来。为便于分析，将变形参数（κ）的范围设定为-0.4≤κ≤0.4。对于定义的范围，已经观察到等离子体系统支持稀有孤立结构。KdV孤子的幅度和宽度受到量子效应的显着影响，并且不受变形参数（κ）的影响。该分析进一步扩展到 mKdV 方程的推导，以研究小振幅双层 (DL) 的存在。仅发现存在负电位 DL，其动力学显着取决于变形参数 (κ)、量子效应 (H) 和冷热电子密度比 (α)。当前讨论的结果可能有助于理解广义熵在等离子体物理环境中的使用 仅发现存在负电位 DL，其动力学显着取决于变形参数 (κ)、量子效应 (H) 和冷热电子密度比 (α)。当前讨论的结果可能有助于理解广义熵在等离子体物理环境中的使用 仅发现存在负电位 DL，其动力学显着取决于变形参数 (κ)、量子效应 (H) 和冷热电子密度比 (α)。当前讨论的结果可能有助于理解广义熵在等离子体物理环境中的使用