中文摘要：

本文探讨具有温度和密度梯度的非均匀量子等离子体系统,获得了该系统在离子与中子碰撞频率较低情况下的二维非线性流体动力学方程.求得了非均匀量子等离子体中的电势的冲击、爆炸和旋涡解.分析讨论了在致密天体物理环境中静电势的变化,结果表明电势的冲击波的幅度和爆炸波的宽度,都随密度的增大（即随无维量子参量的减小）而增大,但随漂移速度的增大（即随密度和温度梯度的增大）而减小;静电势随时空相位的增大而趋向于稳定值,系统最后达到稳定的状态.旋涡解表明,旋涡静电势的时空分布呈现稳定的周期性的旋涡流.

英文摘要：

For an inhomogeneous quantum magnetoplasma system with density and temperature gradients,a two-dimensional nonlinear fluid dynamic equation is derived in the case where the collision frequency between ions and neutrals is minor.The shock,explosion and vortex solutions of the potential for this system are obtained.The changes of the potential in the dense astrophysical environment are discussed.It is shown that the strength of the shock and the width of the explosion are both enhanced with the density increasing （equivalently,the normalized quantum parameter decreasing）,but with the drift velocity decreasing（equivalently,the density and temperature gradients decreasing）;the potential always tends to a stable value with the spatiotemporal phase increasing,and the system approaches finally to a stable state.Besides,the temporal and spatial distributions of the vortex potential display a stable and period vortex street.