(G′/G)-expansion method for two-dimensional force-free magnetic fields described by some nonlinear equations

被引:0
作者
M. A. Abdelkawy
A. H. Bhrawy
机构
[1] Beni-Suef University,Department of Mathematics, Faculty of Science
[2] King Abdulaziz University,Department of Mathematics, Faculty of Science
来源
Indian Journal of Physics | 2013年 / 87卷
关键词
(G′/G)-expansion method; Force-free magnetic field; Magnetostatic equation; Plasmas; Liouville equation; Sine-Poisson equation; Sinh-Poisson equation; 02.30.Jr; 07.05.Bx; 87.50.Mn; 04.20.Jb; 41.20.Gz;
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学科分类号
摘要
In this paper three nonlinear force-free magnetic field equations such as the Liouville equation, Sine-Poisson equation and Sinh-Poisson equation are studied by (G′/G)-expansion method and exact periodic solutions are extracted. In all these cases the ratio of the current density and the magnetic field is not constant e.g. as happens in the solar atmosphere.
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页码:555 / 565
页数:10
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