Properties of solitary kinetic Alfvén wave in a plasma with non-extensive electrons

The properties of solitary kinetic Alfvén waves (SKAWs) in a finite β plasma with three dimensional non-extensive electrons are investigated. Numerical results show that there only exists sub-Alfvénic hump type SKAW. The down limit of the Alfvén Mach number M_z for the existence of SKAW increases with the increase of β. Whereas, it varies non-monotonously with respect to electron nonextensive parameter q for a given β. In the range of M_z where SKAWs exist for different values of q, a bigger q results in a denser soliton structure, making the magnitude of the static electric field along the background magnetic field enhanced. However, the dependence of the amplitudes of the perpendicular magnetic and electric field on q is non-monotonous