Computer Simulation for the Ion-Acoustic Solitons Propagating in both Directions

The temporal behaviors of the finite amplitude ion-acoustic waves propagating in both directions are simulated by a fluid model. In the simulation, several ion-acoustic solitons propagating in both directions emerge and nonlinearly interact one another at the collisions. At the head-on collision, the combined amplitudes of the density and velocity differ from the simple sum of the amplitude of the two solitons. Moreover, the phase shifts cannot be predicted from the Boussinesq equation but agree with those by a reductive perturbation method. The system including the solitons propagating in both directions becomes a turbulent state more quickly than that including only the solitons propagating in unidirection.