A class of exact solutions for N-dimensional incompressible magnetohydrodynamic equations

被引：0
|
作者：
Ping Liu
机构：
[1] Tianjin Normal University,School of Management
来源：
Applied Mathematics and Mechanics | 2016年 / 37卷
关键词：
incompressible magnetohydrodynamic (MHD) equation; exact solution; symmetric matrix; quadratic form; curve integration; O175.1; O357.1; 35Q35; 35C05; 76B03; 76M60;
D O I：
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学科分类号：
摘要：
In this paper, a sufficient and necessary condition is presented for existence of a class of exact solutions to N-dimensional incompressible magnetohydrodynamic (MHD) equations. Such solutions can be explicitly expressed by appropriate formulae. Once the required matrices are chosen, solutions to the MHD equations are directly constructed.
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页码：209 / 214
页数：5
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