Nonlinear heavy-ion-acoustic waves in an adiabatic collisionless Bi-ion plasma
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OSCILLATIONS AND WAVES IN PLASMA
Nonlinear Heavy-Ion-Acoustic Waves in an Adiabatic Collisionless Bi-Ion Plasma1 M. A. Hossena, *, M. M. Rahmana, M. R. Hossenb, and A. A. Mamuna aDepartment bDepartment
of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh of Natural Sciences, Daffodil International University, Dhanmondi, Dhaka-1207, Bangladesh *e-mail: [email protected] Received August 15, 2016
Abstract—The basic properties of heavy-ion-acoustic (HIA) waves have been investigated in a collisionless plasma system which is supposed to be composed of nonthermal electrons, Boltzmann distributed light ions, and adiabatic positively charged inertial heavy ions. The Kortewg-de Vries and Burgers equations are derived in nonplanar (cylindrical and spherical) geometry by employing the standard reductive perturbation method for studying the basic features (viz. amplitude, phase speed, etc.) of HIA solitary and shock waves, which are associated with either positive or negative potential. It is found that the effects of nonplanar geometry, adiabaticity of positively charged inertial heavy ions, the presence of nonthermal (Cairns distributed) electrons, and number densities of the plasma components significantly modify the basic features of nonplanar HIA waves. It has been observed that the properties of solitary and shock waves associated with HIA waves in a nonplanar geometry differ from those in a planar geometry. The implications of our results may be helpful in understanding the electrostatic perturbations in various laboratory and astrophysical plasma environments. DOI: 10.1134/S1063780X17040043
lead to the formation of shock structures. Several different mechanisms which can be responsible for the formation of the shock waves have been studied by a number of authors in different plasma models [16, 20– 24]. Heavy ions play an important role in many astrophysical phenomena, and many attempts have been done by taking heavy ions as one of the components of many plasma models. Hossen et al. [25, 26] considered a plasma system consisting of positively charged static heavy ions, degenerate cold ions, and electron fluids and showed that heavy-ion-acoustic (HIA) solitary structures are significantly modified by the number density of electron and inertial light ion fluids, and the positively charged static heavy ions. In this communication, we have investigated the role of the adiabatic positively charged inertial heavy ions. Wu et al. [27] have analyzed the spontaneous generation of Alfvén waves by deriving a quasilinear theory and showed that the heavy ions in this region can play a crucial role. Popel and Yu [28] studied the nonlinear behavior of IA waves for plasmas comprising impurity ions or negatively charged dust particles, whereas positively charged inertial heavy ions are considered in our present model. Mahmood et al. [29] considered a multicomponent magnetized plasma system in the presence of adiabatically heated ions to study linear and nonlinear IA waves and found that the amplitude of electron de
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