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本文从含有广义欧姆定律的磁流体力学方程组出发,仅作符合加热托卡马克等离子体具体实验条件的近似,把广义磁流体方程组简化成4元一阶微分方程组。对均匀密度等离子体柱情况求出解析色散关系(本征模解),并证明Appert理论是本文的极限情况。In this paper, the reduced form (four differential equations of the first order) of generalized MHD equations is obtained, only some approximations satisfied by the experimental condition of heating tokamak plasma are used. An analytical dispersion relation (eigenmode solution) for a homogeneous plasma cylinder is obtained. It is shown that Appert's theory is a limiting case of our theory.
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