Low frequency, electrostatic, pure drift mode is investigated in dense magnetized electron-ion plasma in the presence of relativistically degenerate electrons using quantum magnetohydrodynamic model (QMHD). Ions are considered as warm classical particles. Inhomogeneities in background ion density, ion temperature and external magnetic field are taken into account. In the linear regime, dispersion relation is obtained and plotted for both non-relativistic and ultra-relativistic regimes. Parametric study shows that for both non-relativistic and ultra-relativistic cases, growth rate of the wave increases by increasing, , which is the ratio of background ion temperature to density. In the nonlinear case, solitary solutions are obtained by using the functional variable method. Graphical illustrations are used to show the effect of relativistically degenerate electrons and other parameters like electron and ion number densities, magnetic field and ion temperature on nonlinear structures in both non relativistic and relativistic regimes. This work may be helpful to understand low frequency phenomena in dense inhomogeneous plasmas like neutron stars, white dwarfs and next generation lasers.

使用量子磁流体动力学模型 (QMHD) 在存在相对论简并电子的情况下，在密集磁化电子离子等离子体中研究了低频、静电、纯漂移模式。离子被认为是温暖的经典粒子。考虑了背景离子密度、离子温度和外部磁场的不均匀性。在线性状态下，非相对论和超相对论状态的色散关系都被获得并绘制出来。参数研究表明，对于非相对论和超相对论情况，波的增长率随着增加而增加，，这是背景离子温度与密度的比率。在非线性情况下，采用函数变量法获得孤立解。图形说明用于显示相对论简并电子和其他参数（如电子和离子数密度、磁场和离子温度）在非相对论和相对论状态下对非线性结构的影响。这项工作可能有助于了解中子星、白矮星和下一代激光等致密非均匀等离子体中的低频现象。