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

A. H. Khater (), D. K. Callebaut and T. N. Abdelhameed

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 50, issue 1, 17-21

Abstract: 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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 05.10.Gg Stochastic analysis methods (Fokker-Planck; Langevin; etc.); 52.30.Cv Magnetohydrodynamics (including electron magnetohydrodynamics); 02.30.Jr Partial differential equations; 52.65.Ff Fokker-Planck and Vlasov equation (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00138-5

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