Lie groups involving potential symmetries are exposed in view of applications to physics. The system of magnetohydrodynamic equations for incompressible matter with Ohm's law for finite resistivity and Hall current is studied in Cartesian geometry. The equations for the evolution of the plasma...

Pucci and Saccomandi [J. Phys. A 26 (1993) 681] have obtained invariant solutions for the Fokker–Planck (FP) equation via potential symmetries. Herein, we analyze the generalized one-dimensional FP equation for various cases corresponding to the physically interesting situations through the...

The work reported here is a sequel to our paper (Physica A 304 (2002) 395), wherein we have obtained the invariant solutions of the generalized one-dimensional Fokker–Planck equation via the so-called potential symmetry method. Herein, the application of the same method has been carried over...