Bogoyavlenskij symmetries of ideal MHD equilibria as Lie point transformations

被引：8
|
作者：
Cheviakov, AF [1 ]
机构：
[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada
来源：
PHYSICS LETTERS A | 2004年 / 321卷 / 01期
关键词：
MHD equilibrium; plasma; Lie point transformations; analytical methods; Bogoyavlenskij symmetries;
D O I：
10.1016/j.physleta.2003.12.006
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter we establish the correspondence between Bogoyavlenskij symmetries [Phys. Lett. A. 291 (4-5) (2001) 256, Phys. Rev. E. 66 (5) (2002) 056410] of the MHD equilibrium equations and Lie point transformations of these equations. We show that certain non-trivial Lie point transformations (that are obtained by direct application of Lie method) are equivalent to Bogoyavlenskij symmetries. (C) 2003 Elsevier B.V. All rights reserved.
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页码：34 / 49
页数：16
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