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

被引：4
|
作者：
Khater, AH [1 ]
Callebaut, DK
Abdelhameed, TN
机构：
[1] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf, Egypt
[2] Univ Antwerp, Dept Natuurkunde, CDE, B-2610 Antwerp, Belgium
来源：
EUROPEAN PHYSICAL JOURNAL B | 2006年 / 50卷 / 1-2期
关键词：
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;
D O I：
10.1140/epjb/e2006-00138-5
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
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.
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页码：17 / 21
页数：5
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