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....

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...

The electrohydrodynamic self-modulational of capillary-gravity waves on the surface of a dielectric fluid layer of finite depth subjected to a tangential electric field is investigated by using the method of multiple scales. A nonlinear Schrödinger equation for the complex amplitude of...