Alfvénic rogue waves

► Alfvénic rogue waves in magnetized plasmas are studied. ► NLS equation describes the propagation of the rogue waves. ► Left- and right-hand Alfvénic rogue waves can exist. ► Left-hand Alfvénic wave supports both supersonic and subsonic rogue waves. ► The model is applied to the nonlinear Alfvén waves that power the solar wind.