Numerical Simulation of Circularly Polarized Alfven Envelope Solitary Waves with Hall Effects

The finite-amplitude circularly polarized Alfven envelope solitary waves are numerically studied in the present paper. It is verified that the left-hand polarized Alfven envelope solitary wave can exist in a magnetized low-beta plasma. By comparing the numerical results with the analytical solutions obtained from nonlinear Schrodinger equation, it seems that the analytical result obtained by the reductive perturbation method is reliable if the amplitude of the envelope solitary wave is small enough. Furthermore, the head-on collision between two Alfven envelope solitary waves is also studied in a magnetized low beta plasma by means of 1-lall-magnetohydrodynamic numerical simulations. It seems that these two envelope solitary waves remain unchanged after head-on collision, furthermore there is no phase shift for the two waves after head-on collision.