Abstract
Effect of inhomogeneity in plasma density and magnetic field on the propagation of magneto-acoustic waves in a cold collision-free plasma is investigated. It is shown, by using a nonlinear perturbation method, that the basic system of equations governing one-dimensional plane waves with small but finite amplitude can be reduced to a modified form of the Korteweg-de Vries equation, from which we can expect damping, growing or splitting of the waves.
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