Characteristic study of head-on collision of dust-ion acoustic solitons of opposite polarity with kappa distributed electrons (original) (raw)
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Physics of Plasmas, 2017
The propagation characteristics and interactions between the dust acoustic (DA) one and multi-solitons in an unmagnetized dusty plasmas composing negatively charged mobile dust, Boltzmann distributed electrons, nonextensive distributed cold and nonthermal distributed hot ions are studied. The well known extended Poincaré-Lighthill-Kuo (PLK) method is employed to derive the two-sided Korteweg-de Vries (KdV) equations. The solutions of KdV equations are constructed using the Hirota's method both for one and multi solitons. The phase shifts are determined for the interaction of one, two and three DA solitons. The effects of plasma parameters on the head-on collision of DA one-as well as multi-solitons and their corresponding phase shifts are investigated.
Propagation of dust ion acoustic solitary waves in dusty plasma with Boltzmann electrons
Journal of Physics: Conference Series, 2019
In this multispecies plasma model, consisting of negative mobile dusts, non-thermal ions and Boltzmann electrons, dust-ion acoustic solitary waves are studied through reductive perturbative technique by deriving corresponding Korteweg-de Vries (KdV) equation. The number of dust charge contained in a dust particle (Zd) and the streaming speeds of mobile dusts (ud0) and ions (ui0) are observed to play very important role to form dust-ion acoustic compressive and rarefactive KdV solitons. Remarkably, some initial streaming of dust (ud0) are found to be instrumental for both compressive and rarefactive KdV solitons in a short range of Zd separating both kinds by some asymptotic lines. Also, the presence of low dust charges and lower ion streaming, compressive and rarefactive KdV solitons of either concave or convex characters are shown to reflect. For the higher streaming of mobile dusts, the amplitudes of the rarefactive KdV solitons characteristically changes from higher to lower show...
Oblique Interaction of Dust-ion Acoustic Solitons with Superthermal Electrons in a Magnetized Plasma
Journal of the Physical Society of Japan, 2018
The oblique interaction between two dust-ion acoustic (DIA) solitons travelling in the opposite direction, in a collisionless magnetized plasma composed of dynamic ions, static dust (positive/negative) charged particles and interialess kappa distributed electrons is investigated. By employing extended Poincare–Lighthill–Kuo (PLK) method, Korteweg–de Vries (KdV) equations are derived for the right and left moving low amplitude DIA solitons. Their trajectories and corresponding phase shifts before and after their interaction are also obtained. It is found that in negatively charged dusty plasma above the critical dust charged to ion density ratio the positive polarity pulse is formed, while below the critical dust charged density ratio the negative polarity pulse of DIA soliton exist. However it is found that only positive polarity pulse of DIA solitons exist for the positively charged dust particles case in a magnetized nonthermal plasma. The nonlinearity coefficient in the KdV equation vanishes for the ne...
KP, MKP, and CKP dust ion acoustic solitons in a multispecies non-Maxwellian plasma
Physics of Plasmas, 2022
Characteristics of small amplitude dust ion acoustic (DIA) solitons under transverse perturbations in a multispecies plasma with dust impurity and Vasyliunas–Cairns distributed two temperature electrons are presented. Using a reductive perturbation technique, the Kadomtsev–Petviashivili (KP), modified KP, and coupled KP equations are derived. Furthermore, considering single variable transformation, solutions of different equations are derived to investigate the influence of various plasma parameters and higher order effects on the characteristics of DIA solitons. From the nonlinear coefficient of the KP equation, the parametric range for the existence of positive and negative potential solitons is also determined. Furthermore, the stability analysis of the soliton solution of the KP equation is discussed. It is remarked that all different physical parameters have much influence on the characteristics of different types of small amplitude DIA solitons.
Physica Scripta, 2008
The nonlinear properties of solitary wave structures are reported in an unmagnetized collisionless plasma comprising of cold relativistic electron fluid, Maxwellian hot electrons, relativistic electron beam, and stationary ions. The Korteweg-de Vries (KdV) equation has been derived using a reductive perturbation theory. As the wave amplitude increases, the width and velocity of the soliton deviate from the prediction of the KdV equation i.e. the breakdown of the KdV approximation. On the other hand, to overcome this weakness we extend our analysis to obtain the KdV equation with fifth-order dispersion term. The solution of the resulting equation has been obtained.
• Properties of Dust Acoustic Solitary Waves in Plasma with Non-Thermal Electrons
2017
A Plasma model is considered, having contaminated with negatively charged dust particles to study the properties of the nonlinear wave profile, in which the ions are the Maxwellian and electrons are non Maxwellian. Inertial dust motion is possible due to their heavy mass in comparison to the much smaller masses of ions and electrons. The occurrence of the nonlinear waves leading to formation and propagation of dust acoustic solitary waves (DASW) in the plasma is augmented through energy integral. A pseudo potential approach is employed to derive this integral known as the Sagdeev Potential (S.P) equation. The important parameters for our study are considered as signifying respectively the number of charged dust particle, equilibrium density ratio of dust and ion, population of non thermal electron and wave Mach number. The nature of soliton is also studied by deriving well-known small amplitude K-dV solution of the S.P equation.
Advances in Astrophysics
The effects of vortex-like (trapped) negative ion, Maxwellians electron, arbitrarily charged stationary dust, and cold mobile inertial positive ion have been theoretically investigated in the study of nonlinear propagation of dust-ion-acoustic (DIA) solitary waves (SWs) in an unmagnetized dusty electronegative plasma (DENP). The properties of small but finite amplitude DIASWs are studied by employing the reductive perturbation technique (RPT). It has been found that owing to the departure from the Maxwellian negative ion distribution to a vortex-like one, the dynamics of such DIASWs is governed by a modified Korteweg-de Vries (mK-dV) equation which admits solitary wave solution under certain conditions. The basic properties (speed, amplitude, width, etc.) of such DIASWs are found to be significantly modified by the effects of trapped negative ions and arbitrarily charged stationary dust particles. The results should be useful for understanding the nonlinear propagation of DIASWs in laboratory and space plasmas (e.g., Earth's magnetosphere, auroral region, heliospheric environments etc.).
Journal of Plasma Physics, 2004
In this paper, the characteristics of dust-acoustic solitary waves in dusty plasma are studied. Dust charge and temperature are treated as variables. The authors have used the pseudopotential method to investigate the possibility of compressive as well as rarefactive solitons. An expression for the pseudopotential has been derived. The pseudopotential is a function of the Mach number, the relative temperature of low and high ion components, the relative ion concentration of dust charge and the temperature. Numerical computation shows that for the chosen set of parameters, only compressive solitons exist and their amplitudes increase with increasing Mach number. An increase in the dust temperature results in the disappearance of the compressive soliton. It is the only small parameter regime where compressive as well rarefactive solitons coexist. The effect of the relative ion temperature on solitons is also investigated. In the small amplitude limit, an increase in the dust temperatu...
Dust Acoustic Multi-soliton Collisions in a Dusty Plasma Using Hirota Bilinear Method
2021
The propagation and collision of dust acoustic (DA) multi-solitons in a four component dusty plasma which consists of negatively and positively charged cold dust fluids, Boltzmann distributed electrons and ions have been studied in the presence of a polarization force acting on dust grains. Using the reductive perturbation technique (RPT), the Korteweged-de Vries (KdV) equation is derived. By using the Hirota bilinear method, the two-and three-soliton solutions of the obtained KdV equation have been successfully obtained. Phase shifts of the two-soliton and three-soliton have been deduced. It has been found that both compressive and rarefactive solitons exist in current dusty plasma model. The polarization force plays a significant role in the overtaking collision process of two-soliton and three-soliton, in such a way that the amplitude of the compressive (rarefactive) solitons decreases (increases) as polarization force increases. It was also found that the phase shifts are significantly affected by the dusty plasma parameters such as the dust charge number ratio, ion-to-electron temperature ratio, negative-to-positive dust mass ratio, the ratio of the densities of electrons to ions and the polarization force parameter.