ABSTRACT
This chapter provides the ideal magnetohydrodynamic (MHD) internal modes in a cylindrical plasma. It explains the ideal MHD internal modes in a cylindrical plasma. The chapter explains the form of equations for the Suydam modes in the Fourier representation and the approach. In the case the perturbed plasma displacement is of the form of a step function, which simplifies essentially the problem. The chapter deals with a qualitative consideration based on the energy method. The effect of the magnetic hill is important for all the varieties of internal modes. Increasing the shear, one can stabilize the Suydam modes. The chapter explains the approach used to calculate the growth rate near the instability boundary. The analysis of the Suydam modes is performed in the coordinate representation. From a mathematical point of view, the problem of the Suydam modes is relatively simple since their ideal region is localized near the singular point that is these perturbations are local.
