Abstract
In this paper, we find the perturbations depending on the magnetohydrodynamics time in a static and homogeneous plasma, with the help of the set of nonlinear equations. However, we only focus on low-amplitude perturbations, and therefore we can find a set of linear differential equations with the corresponding wave form solutions. We should also mention that if the non-perturbed velocity is non-zero but uniform, one can always translate the plasma to a framework where it is stationary there. Hence, we suppose that the plasma is in equilibrium state and its initial velocity is zero. This static equilibrium is changed to the small perturbations in the magnetic field, in the pressure fluid, and in the mass density.
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