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Using the cold plasma and Maxwell equations, the authors derive a pair of coupled nonlinear equations governing the propagation of finite amplitude shear Alfvén waves in a strongly magnetized electron-positron plasma. It is shown that the waves can propagate in the form of two-dimensional dipolar vortices. The latter may affect cross-field particle and energy transport in the pulsar magnetosphere.
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Yu et al. (1986) studied this question.
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