Abstract
A set of nonlinear equations for low-frequency short wavelength electromagnetic waves in a nonuniform magnetized plasma has been derived using the two-fluid plasma model. We consider an equilibrium plasma with density gradient and sheared flows. In the linear limit, local dispersion relation is obtained and analyzed. It is found that sheared equilibrium flows can cause the coupling of the waves and the instability of Alfvén-like electromagnetic modes and electron-acoustic modes. It is also demonstrated that a possible stationary solutions at the nonlinear limit, without dissipations, can be represented in the form of various types of vortices.
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