Cylindrical and spherical Gardner solitons and double layers in a dusty electronegative non-thermal plasma with two-temperature electrons

Abstract

A precise theoretical investigation has been made on the cylindrical and spherical (nonplanar) Gardner solitons (GSs) and double layers (DLs) in a dusty electronegative plasma (composed of inertial positive and negative ions, Maxwellian cold electrons, non-thermal hot electrons, and negatively charged static dust). The reductive perturbation method has been used in derivation of the modified Gardner (MG) equation describing the nonlinear propagation of the dust ion-acoustic (DIA) waves. The MG equation admits solitary waves (SWs) and DLs solutions for σ around its critical value σ c (where σ c is the value of σ corresponding to the vanishing of the nonlinear coefficient of the Korteweg de-Vries (K-dV) equation).The nonplanar SWs and DLs solutions are numerically analyzed and the parametric regimes for the existence of the positive as well as negative SWs and negative DLs are obtained. The basic features of nonplanar DIA SWs and DLs, which are found to be different from planar ones, are also identified. The implications of our results to different space and laboratory dusty plasma situations, are discussed.

Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions

“…Negative ions can sometimes occur naturally by an electron attaching to neutral particles or can be injected from external sources in a lot of space and laboratory environments, such as the D region of the ionosphere, photosphere of the Sun, and plasma processing reactors. Akhter et al [33] studied Gardner solitons and double layers in a classical dusty electronegative plasma composed of positive and negative ions, cold electrons, hot electrons, and negatively charged static dust. The linear and nonlinear propagation of QIAWs have also been investigated in the quantum pair-ion plasmas.…”

Heavy-Ion-Acoustic Solitary and Shock Waves in an Adiabatic Multi-Ion Plasma

“…Several authors have considered the effects of finite ion temperature in their plasma models [13,26,27] by assuming adiabatic ions and non-adiabatic electrons following different types of distributions [17,[28][29][30]. In a dusty plasma, Eslami et al [31] numerically analyzed the effects of the nonplanar geometry, nonextensive parameter, dust density, and ion temperature on dust-ion acoustic (DIA) solitary waves, whose constituents are adiabatic ion fluid, nonextensive electrons, and negatively charged static dust particles.…”