Abstract Dynamical properties of nonlinear ion-acoustic waves (IAWs) in multi-pair plasmas (MPPs) constituting adiabatic ion fluids of positive and negative charges, and q-nonextensive electrons and positrons are examined. The nonlinear Schrödinger equation (NLSE) is considered to study the dynamics of IAWs in a nonextensive MPP system. Bifurcation of the dynamical system obtained from the NLSE shows that the system supports various wave forms such as, nonlinear periodic wave, kink and anti-kink waves in different ranges of q. The analytical solutions for ion-acoustic nonlinear periodic wave, kink and anti-kink waves are obtained. The impacts of system parameters such as, nonextensive parameter (q), mass ratio of negative and positive ions (μ 1), number density ratio of positive and negative ions (μ 2), number density ratio of positrons and negative ions (μ p), temperature ratio of positive ions and electrons (σ 2) and temperature ratio of electrons and positrons (δ) on IAW solutions are bestowed. The results of this study are applicable to understand different dynamical behaviors of nonlinear IAWs found in the Earth’s ionosphere, such as, D-region [H+, O 2 − ${\mathrm{O}}_{2}^{-}$ ] and F-region [H+, H−] and multipair plasma system laboratory [C+, C−].

中文翻译：

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基于非线性薛定谔方程的非线性离子声波在多对非扩展等离子体中的动力学特性

摘要 研究了多对等离子体 (MPP) 中非线性离子声波 (IAW) 的动力学特性，该等离子体构成了带正负电荷的绝热离子流体，以及 q 非延展电子和正电子。非线性薛定谔方程 (NLSE) 被认为是研究非扩展 MPP 系统中 IAW 的动力学。NLSE得到的动力系统分岔表明，该系统支持不同q范围内的非线性周期波、扭结和反扭结波等多种波形。得到了离子声非线性周期波、扭结波和反扭结波的解析解。系统参数的影响，如非扩展参数（q）、正负离子质量比（μ 1）、正负离子数密度比（μ 2）、给出了IAW溶液中正电子与负离子数密度比(μ p)、正离子与电子温度比(σ 2 )和电子与正电子温度比(δ)。这项研究的结果适用于理解在地球电离层中发现的非线性 IAW 的不同动力学行为，例如 D 区 [H+, O 2 − ${\mathrm{O}}_{2}^{-}$ ] 和 F 区 [H+, H-] 和多对等离子体系统实验室 [C+, C-]。