Dissipative ion-acoustic solitons in ion-beam plasma obeying a κ -distribution

The amplitude modulation of ion-acoustic waves is investigated in a plasma system consisting of ions and electrons obeying κ-distribution. Taking into account the dissipative mechanisms that consist of the ionization and applying a reductive perturbation technique, a one-parameter dissipative nonlinear Schrödinger (DNLS) equation of electrostatic potential governing the dynamics of these modulated ion-acoustic waves is derived and expressed in terms of the system parameters only. The modulational instability and its dependence on the system’s physical parameters is presented. Within the unstable region, the dynamics of dissipative ion-acoustic bright solitons propagating on a non-vanishing continuous wave background is analyzed analytically with the help of an approximative soliton solutions of the DNLS equation of the system. The effect of the plasma parameters on the dynamics of dissipative bright solitons is also presented. We find that the ion to electron temperature ratio (σ = Ti/Te) plays an important role in our analytical investigation.