标题： 柱坐标系下与磁流体动力学中磁场扩散相关的Fokker-Planck方程的潜在对称性和不变解，包括霍尔电流 显示英文标题

标题： Potential symmetry and invariant solutions of Fokker-Planck equation in cylindrical coordinates related to magnetic field diffusion in magnetohydrodynamics including the Hall current

摘要： 涉及潜在对称性的李群被应用于与不可压缩物质的磁流体动力学方程组相关的情况，其中包含有限电阻率和圆柱几何中的霍尔电流的欧姆定律。 一些简化允许得到一个福克-普朗克类型的方程。 获得了涉及时间依赖流动和霍尔电流效应的不变解。 这种方法的一些有趣的结果是新的精确解，这些解似乎在文献中没有被报道过。 显示英文摘要

摘要： Lie groups involving potential symmetries are applied in connection with the system of magnetohydrodynamic equations for incompressible matter with Ohm's law for finite resistivity and Hall current in cylindrical geometry. Some simplifications allow to obtain a Fokker-Planck type equation. Invariant solutions are obtained involving the effects of time-dependent flow and the Hall-current. Some interesting side results of this approach are new exact solutions that do not seem to have been reported in the literature.