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致密磁流体中的非线性离子声波
引用本文:杨建荣,毛润华,刘萍.致密磁流体中的非线性离子声波[J].宁波大学学报(理工版),2020,33(5):22-25.
作者姓名:杨建荣  毛润华  刘萍
作者单位:1.上饶师范学院 物理与电子信息学院, 江西 上饶 334001; 2.上饶师范学院 经济与管理学院, 江西 上饶 334001; 3.电子科技大学中山学院 电子信息学院, 广东 中山 528402
基金项目:国家自然科学基金;国家自然科学基金
摘    要:磁化致密等离子体系统中具有丰富的非线性波动现象. 针对非均匀系统, 采用量子流体动力模型并考虑非线性效应、碰撞效应和某些高阶偏导项等因素, 构建了离子和中子间的碰撞频率与场量的变化率不同大小情况下的非线性控制方程. 利用不同的函数变换关系得到了一系列非线性离子声波的解析解, 其结果为阐明现实中所观察到的有关物理现象提供了有益的理论参考.

关 键 词:磁化致密等离子体  量子流体动力模型  非线性离子声波  函数变换法

Nonlinear ion acoustic wave in dense magnetoplasma
YANG Jianrong,MAO Runhua,LIU Ping.Nonlinear ion acoustic wave in dense magnetoplasma[J].Journal of Ningbo University(Natural Science and Engineering Edition),2020,33(5):22-25.
Authors:YANG Jianrong  MAO Runhua  LIU Ping
Institution:1.School of Physics and Electronics, Shangrao Normal University, Shangrao 334001, China? 2.School of Economics and Management, Shangrao Normal University, Shangrao 334001, China? 3.School of Electronic and Information Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402, China
Abstract:There are manifold nonlinear fluctuations in magnetized dense plasma systems. For the nonuniform system, the nonlinear governing equations are established using the quantum hydrodynamic model and considering nonlinear effect, collision effect and some higher order derivatives, which are in the different cases of the collision frequency and the change rate of field. A series of nonlinear solutions of ion acoustic wave are obtained by employing different nonlinear functional transformations. These results provide useful theoretical references for describing the relevant real-world phenomena.
Keywords:magnetized dense plasma  quantum hydrodynamic model  nonlinear ion acoustic wave  functional transformation method
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