Computer Simulation for the Fast Magnetosonic Solitons

Abstract

A computer simulation for the fast magneto-sonic soliton (FMS soliton) propagating across the external magnetic field is studied under the periodic boundary condition using the fluid model. A theory, which explains the characteristic of the soliton under the periodic boundary condition, is obtained as an extension of the theory by Gardner et al. The theoretical results agree well with those obtained by the simulation.
Several fast magneto-sonic solitons are formed from a finite amplitude FMS wave. The type of the collision between two solitons depends on their amplitude ratio and they emerge out of the collision preserving their initial shapes and speeds except the phase shifts. The recurrence time and the relationship among the amplitude, speed and width of the soliton simulated agree well with the theory. The number of solitons simulated is about 0.74 times the theoretical one.