REDUCED FORM AND EIGENMODE SOLUTION OF GENERALIZED MHD EQUATIONS IN A CYLINDRICAL PLASMA
柱等离子体中广义磁流体方程组的简化形式与本征模解

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.