Abstract
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.
Highlights
Modulated waves such as matter-wave solitons have been the subject of much interest in physics, in general, plasma physics, in particular
We have investigated analytically in detail both the modulational instability of the ion-acoustic wave envelopes and the dissipative ion-acoustic bright solitons in a plasma consisting of ions and electrons obeying κ-distribution
Adopting the reductive perturbation method, a one-parameter dissipative NLS equation of electrostatic potential governing the evolution of these modulated ion-acoustic wave envelopes is derived and expressed in terms of the system parameters only
Summary
Modulated waves such as matter-wave solitons have been the subject of much interest in physics, in general, plasma physics, in particular. To investigate the motions of matterwave solitons in plasmas, it is often assumed that the electronvelocity-distribution functions are in local thermal equilibrium, that is, the Maxwellian distributed species are known to be isotropically distributed around the average velocity.. By taking into account dissipative mechanisms, Guo and Mei have used the κ-distribution to investigate the amplitude modulation of ion-acoustic waves in an unmagnetized plasma containing positive ions, negative ions, and superthermal electrons. The purpose of this paper is to investigate analytically the modulated ion-acoustic waves in a low-temperature ion-beam plasma system containing superthermal electrons with a kappa-type distribution when the dissipative mechanisms are taken into account. We consider a plasma model, wherein ions are injected from the source chamber into the target chamber followed by superthermal electrons, thereby obeying a κ-distribution.
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