Abstract Nonlinear properties of ion-acoustic waves (IAWs) are studied in electron-ion (EI) degenerate plasma with the electron exchange-correlation effects by using the quantum hydrodynamic (QHD) model. To investigate arbitrary amplitude IAWs, we have reduced the model equations into a system of ordinary differential equations using a traveling wave transformation. Computational investigations have been performed to examine the combined effect of Bohm potential and exchange-correlation potential significantly modifies the dynamics of IAWs by employing the concept of dynamical systems. The equilibrium points of the model are determined and its stability natures are analyzed. The phase portrait and Poincaré return map of the dynamical system are displayed numerically. Quasiperiodic as well as chaotic dynamics of the system are confirmed through the Poincaré return map diagrams.

中文翻译：

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具有交换相关效应的量子等离子体中离子声波的非线性动力学

摘要 利用量子流体动力学(QHD)模型研究了具有电子交换相关效应的电子-离子(EI)简并等离子体中离子-声波(IAW)的非线性特性。为了研究任意振幅 IAW，我们使用行波变换将模型方程简化为常微分方程组。已经进行了计算研究，以检查 Bohm 电位和交换相关电位的组合效应，通过采用动力系统的概念显着改变了 IAW 的动力学。确定了模型的平衡点，分析了模型的稳定性。动力系统的相图和庞加莱回归图以数字形式显示。