Abstract

The propagation of the nonplanar (both cylindrical and spherical) electro-acoustic waves, particularly ion-acoustic waves in a strongly coupled cryogenic electron-ion plasma has been studied utilizing the generalized quantum hydrodynamic model applicable for the cryogenic situation. The Korteweg–de Vries and Burgers equations are derived by adopting the reductive perturbation technique. The basic features (e.g., phase speed, amplitude, and width, etc.) of the ion-acoustic solitary and shock waves, are identified by analyzing the stationary solitary, and shock wave solutions of the Korteweg–de Vries and Burgers equations, respectively. It is found that the basic characteristics of the IA nonlinear structures in non-planar geometry are significantly modified by the effects of the ratio of plasma particle number densities, the Fermi temperature and pressure of electrons, the viscous coefficient, etc. The results of this theoretical investigation may be useful in describing the physics of the ion-acoustic nonlinear features of the localized electrostatic disturbances in quantum cryogenic plasmas (viz. laser-produced plasmas, super-intense laser-dense matter experiments, etc.).

中文翻译：

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强耦合低温量子等离子体中的圆柱和球形电声波

摘要

利用适用于低温情况的广义量子流体动力学模型，研究了非平面（圆柱和球形）电声波，特别是离子声波在强耦合低温电子离子等离子体中的传播。Korteweg-de Vries和Burgers方程是通过采用还原摄动技术得出的。分别通过分析Korteweg-de Vries和Burgers方程的稳态孤波和冲击波解来确定离子声孤波和冲击波的基本特征（例如，相速度，幅度和宽度等）。 。研究发现，非等离子几何结构的IA非线性结构的基本特征受到等离子粒子数密度比的影响而显着改变，