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In terms of Hasegawa-Wakatani equations,the nonlinear coupling of the electrostatic drift wave and the shear Alfven wave in magnetized plasmas has been investigated. The dipolar vortex solutions of the nonlinear equation system are obtained. These solutions belong to the intrinsic electromagnetic vortices, the corresponding magnetic field perturbations and the longitudinal current are continuous on the boundary of the vortex.
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