Dust Acoustic Solitary Waves Research Articles

Low-frequency solitary wave propagations in complex plasmas: the effect of trapped non-thermal polarization force

ABSTRACT The effect of trapped non-thermal polarization force on low-frequency solitary waves (dust acoustic solitons) is addressed in a collisionless complex plasma. For this purpose, we have firstly redefined the three-dimensional Cairns–Gurevich distribution that describes, simultaneously, the evolution of the energetic ions and those trapped in the plasma potential well, and derived the associated both density and polarization force expressions. The polarization force effects are remarkably modified due to the presence of the trapped non-thermal ions. In particular, we have found that the polarization force magnitude decreases with the increase of ion non-thermality character. Next, the modifications arising in dust-acoustic (DA) solitons and its energy due to the presence of these trapped non-thermal density and polarization force are analyzed. In particular, we have found that the presence of the polarization force leads to an increase in the amplitude and width of DA solitary wave can be propagated in different complex plasma media. Finally, a complementary study on the polarization force effects on the DA energy, associated with both space and experimental dusty plasmas, is also carried out. Our numerical results have shown that more is strong the polarization force more is higher the energy transported by DA solitons.

Arbitrary amplitude dust-acoustic waves in Jupiter atmosphere

Arbitrary amplitude dust-acoustic solitary waves in a dusty plasma in Jupiter atmosphere are expected to occur for distance greater than 15RJ, where RJ is the distance from the center of the Jupiter (RJ = 71398 km). We used the generalized hydrodynamic model for positive dust grains, Maxwellian electrons and ions those interact with solar wind protons and electrons. The energy-balance-like equation containing Sagdeev potential is derived and its numerical analysis is presented. The existence region of the arbitrary amplitude dust-acoustic solitary waves is defined. It is found that subsonic (Mach number <1) and supersonic (Mach number >1) acoustic waves can exist, but the dominant pulses are supersonic modes and the pulses have positive potential. The main effects to change the soliton existence region are the dust number density and the streaming solar wind protons parameters, via solar wind proton number density, temperature, and streaming speed. Increasing the dust grains number density leads to reduce the width and enhances the amplitude. For higher temperature solar wind proton, the solitary waves dwarfed and broader, while enhancement the solar wind proton number density and streaming speed leads to transfer more energy into the plasma that makes the pulses towering.

Relativistic Effect of Electrons on Dust Acoustic Solitary waves in unmagnetized plasma

In this paper, we study dust acoustic solitary waves (DASW) based on the dust charge Zd =equilibrium density of ions / equilibrium density of dust ions , initial dust speed do Udo and initial streaming speed \nueo of electrons with the introduction of relativistic effect. Only rarefactive solitons are found to exist in the unmagnetized dusty plasma in presence of relativity for electrons. It is observed that for greater values of dust charge Zd rarefactive solitons exist.

Dust-acoustic solitary waves in a self-gravitating warm opposite polarity dusty plasma

A theoretical investigation is made to study the propagation of dust-acoustic solitary waves in a general and realistic self-gravitating dusty plasma system containing positively as well as negatively charged warm dust species and nonthermally distributed ion species. The standard reductive perturbation method is employed to derive the Korteweg–de Vries equation which admits the solitary wave solution. The parametric regimes for the existence of dust-acoustic solitary waves associated with electrostatic and self-gravitational potentials are obtained. It is shown that the population of nonthermal ion species significantly modifies the basic features of the dust-acoustic solitary waves. The significant effects of ratios of mass, temperature, and number density of positively charged dust species to those of negatively charged one on the basic properties (namely, phase speed, polarity, amplitude, and width) of the dust-acoustic solitary waves are also identified. A brief comparison between electrostatic and self-gravitational solitary potential structures is also made. The implications of our results to different space and laboratory dusty plasma environments, where opposite polarity dust grains are observed, are briefly discussed.

Dust Ion Acoustic Solitary Waves in Unmagnetized Plasma with Kaniadakis Distributed Electrons

The propagation of dust ion acoustic solitary waves (DIASWs) is investigated in dusty plasma with non-Maxwellian electrons. The Korteweg-de Vries (KdV) equation and modified Korteweg-de Vries (mKdV) equation are derived with the help of reductive perturbation method and their solitary wave solutions are analyzed. The effects of relevant parameters (viz., κ-deformed parameter and dust concentration μ) on the dynamics of solitary structures are discussed in detail.

Dust acoustic solitary waves in a five component cometary plasma with dust charge variation

The characteristics of dust acoustic solitary waves (DASWs), described by the Zakharov-Kuznetsov equation, have been studied in a five component cometary plasma. Negatively charged dust, positively charged lighter and heavier ions (described by Maxwellian distributions) and two components of electrons (modelled by kappa distributions with different temperatures and spectral indices) constitute the plasma. The system supports rarefactive solitary waves whose amplitude increases when charge variation on the dust particles is considered. We find that the second, superthermal component of electrons has a strong influence on the characteristics of the DASWs: it's amplitude and width decreases with decreasing temperatures and spectral indices, respectively, of the second component of electrons. The amplitude of the DASW, however, increases with increasing heavier ion densities. Correlation of our results with observations at comet Halley is also indicated.

Effect of non-thermal electron and positron on the dust ion acoustic solitary wave in the presence of relativistic thermal magnetized ions

The propagation characteristics of small-amplitude electrostatics solitary wave in magnetized dusty plasma in the presence of relativistic thermal ion with non-thermal electron and positron are investigated. Here, Zakharov–Kuznetsov (Z–K) equation is studied to observe the evolution of dust ion acoustic solitary waves with the help of perturbative procedures. In the present plasma system, the Mach number (phase velocity) is found to be in the supersonic range and it decreases (increases) with normalized positron density (thermal ion parameter). On the other hand, the plasma system behaves in the least nonlinear way when the non-thermal parameter of electrons and positrons has the lowest value allowing the solitary wave potential to propagate with maximum value. It is found that the non-thermal parameters of electrons and positrons, relativistic factor and dust density, can effectively control the variation of Mach number. The solitary wave potential has the least value when the thermal ion parameter increases, whereas it is the highest when the positron density has the highest.

Dust ion acoustic solitons in a complex dusty plasma system with an adiabatic state

In this theoretical work nonlinear behavior of dust ion acoustic solitary waves (SWs) has been investigated, and then the effect of the adiabatic change on them has been observed. The complex plasma system consists of inertial positive and negative ions, Maxwell's electrons, and positively and negatively charged stationary dust particles. The effects of dust polarity on the dust ion acoustic SWs have also been observed. Using the reductive perturbation method, we first derive K-dV equation which lets to analyze both the positive (bright) and negative (dark) solitons in a very limited region. After that mK-dV equation has been derived, and this let to analyze positive soliton for a large region, but cannot show the negative soliton. Finally, the Gardner equation has been derived employing the same method, through which we were able to analyze both the positive and negative solitons for a large region. It has been found that both the positive and negative solitons significantly depend on the mass number density, ion number density, and dust polarity in the adiabatic and isothermal system.

Propagation of the nonlinear damped Korteweg‐de Vries equation in an unmagnetized collisional dusty plasma via analytical mathematical methods

In this article, we consider the problem formulation of dust plasmas with positively charge, cold dust fluid with negatively charge, thermal electrons, ionized electrons, and immovable background neutral particles. We obtain the dust‐ion‐acoustic solitary waves (DIASWs) under nonmagnetized collision dusty plasma. By using the reductive perturbation technique, the nonlinear damped Korteweg‐de Vries (D‐KdV) equation is formulated. We found the solutions for nonlinear D‐KdV equation. The constructed solutions represent as bright solitons, dark solitons, kink wave and antikinks wave solitons, and periodic traveling waves. The physical interpretation of constructed solutions is represented by two‐ and three‐dimensional graphically models to understand the physical aspects of various behavior for DIASWs. These investigation prove that proposed techniques are more helpful, fruitful, powerful, and efficient to study analytically the other nonlinear nonlinear partial differential equations (PDEs) that arise in engineering, plasma physics, mathematical physics, and many other branches of applied sciences.

Propagation and interaction of dust ion acoustic solitary waves(DIASWs) for the damped forced modified Korteweg-de-Vries-Burger equation at some critical composition of parameters

The analytical solution of dust-ion-acoustic-solitary waves (DIASWs)with the influence of external periodic force are reported in a dusty plasma model which consists of dust-ion collisions. Using reduction perturbation technique (RPT) damped modified forced Korteweg-de-Vries-Burger (DMFKdVB)equation in some critical composition is obtained. Various physical parameters i.e. dust ion collision frequency (νid0), the entropic index (q), the velocity of travelling wave (M0) ,the ratio of the densities between electrons and ions (μ), viscosity coefficient (η), frequency (w) of the external perturbation and the strength(f0) of the perturbation are observed. This study may be helpful to interpret the characteristics of DIASWs in astrophysical rings, interstellar clouds and comet tails.

Nonlinear Wave Interaction with Positron Beam in a Relativistic Plasma: Evaluation of Hypersonic Dust Ion Acoustic Waves

We studied the propagation of small-amplitude dust ion acoustic (DIA) solitary waves in four-component relativistic plasma comprised of nonthermal electrons, mobile positively charged ions, positron beam and negatively charged massive dust particles. By using the reductive perturbation method, the Korteweg–de-Vries (KdV) nonlinear wave equation is derived numerically. In this work, we have elucidated the role of energetic positron beam in the relativistic plasma and analyzed the existence region for ion-acoustic (IA) solitary wave formation. It is found that for certain plasma parameters, the propagation of both compressive and rarefactive solitary waves is possible. Here, the injecting streaming positron beam in plasma gives rise to the increase in the phase velocity (Mach number) and reaches up to the hypersonic regime of flow velocity. It is observed that the initial increase in relativistic factor of positron beam $${{\gamma }_{{{\text{br}}}}}$$, as well as temperature ratio of the positron beam to electrons $${{\sigma }_{{\text{b}}}}$$ decrease the characteristic features (the amplitude) of the compressive solitary wave potential profiles. On the other hand, on increasing dust grain charge $${{Z}_{{{\text{d0}}}}}$$, positron beam concentration ratio $${{\mu }_{{\text{b}}}}$$ as well as nonthermal electrons concentration result in enhancement of the amplitudes of IA solitary wave potential profiles. The findings of this work can be more helpful in understanding the Earth’s upper atmosphere (Aurora region of the ionosphere) as well as the space plasmas.

Dust acoustic solitary waves in a five-component cometary plasma with charge variation

The characteristics of dust acoustic solitary waves (DASWs), described by the Zakharov-Kuznetsov equation, have been studied in a five component cometary plasma. Negatively charged dust, positively...

Effect of external oblique magnetic field on the nonextensive dust acoustic soliton energy

A theoretical study has been carried out of obliquely propagating dust acoustic solitary waves in a magnetized multi-component dusty plasma which consists of fluid dust grains, nonextensive ions, and Maxwellian electrons. Our plasma model is inspired from the experimental study of Bandyopadhyay et al. (Phys Rev Lett 101:065006, 2008). The reductive perturbation method has been used to establish the Korteweg–de Vries (K–dV) equation which admits a nonlinear solitary wave solution for small but finite amplitude limit. Our results reveal that the main quantities of DA solitons are drastically affected by the nonextensivity, obliqueness, and static magnetic field effects. In particular, it may be noted that an addition of a degree of ion nonextensivity leads to an increase in the amplitude and width of DA soliton. This effect becomes more important when the DA soliton propagates more obliquely. The role the nonextensivity, obliqueness, and magnetic intensity can play in the energy engendered by the DA soliton is also analyzed. Interestingly, it is shown that the presence of the strong magnetic field causes a dissipation of the energy carried by the DA soliton. This dissipation becomes less important as the ions correlation becomes stronger. For a good understanding, the theoretical results of our model are compared to their experimental counterparts.

Nonlinear interaction phenomenon of dust acoustic solitary and shock waves in dusty plasma

AbstractThe effects of head‐on collision on dust acoustic (DA) solitary and shock waves in dusty plasma are investigated considering positively charged inertial dust, Boltzmann distributed negatively charged heavy ions, positively charged light ions, and superthermal electrons in the plasma system. The nonlinear Korteweg‐de‐Vries (KdV) Burger equations are derived taking the extended Poincaré‐Lighthill‐Kuo method into account to study the characteristic properties of nonlinearity and production of solitary shock due to collisions. The study reveals that the amplitudes and widths of the DA shock waves are decreasing with increasing viscosity, electron to dust density ratio, and dust to ion temperature ratio, while they are increasing due to the presence of superthermal electrons. The nonlinearity of DA waves are enhanced with increasing density ratio of electron to dust and temperature ratio of dust to ion and electron, respectively, but it is reducing with superthermal electrons. The phase shifts of DA solitary waves are found to decrease with rising superthermality of electrons and increase with the density ratio of electron to dust.

A study of Chandrasekhar limits in adiabatic degenerate plasmas with superthermal ions

A theoretical investigation has been done to find the impacts of Chandrasekhar limits (ultra-relativistic and non-relativistic) in adiabatic plasmas with the presence of superthermal ions. To do so, a dust-acoustic solitary wave (DASW) equation propagating in adiabatic degenerate plasmas has been derived employing the reductive perturbation method. The effects of the external magnetic field on the wave propagation and its instability have also been scrutinized. However, the plasma parameters, used in this present theoretical analysis, correspond to white dwarfs but it is possible to apply results for neutron stars and other compact objects.

Effect of the pressure of the dust grains in strongly coupled dusty plasma on the head-on collision between two nonlinear waves

The head-on collision between two dust-acoustic solitary waves in a non-magnetized, collisionless and strongly coupled dust plasma has been studied. The application scope of the analytical solution of the head-on collision is given in the present paper by using the particle-in-cell simulation method. It is noted that the analytical results are valid if the amplitudes of both of the solitary waves are small enough. The effects of the coupling parameters on both the head-on collision and the waveform are also studied in the present paper.

Solitary wave solutions of pZK equation using Lie point symmetries

The nonlinear propagation of dust-ion acoustic solitary waves and shocks can be represented by a nonlinear evolution partial differential equation, namely the perturbed $$(3+1)$$-dimensional Zakharov–Kuznetsov (pZK) equation. Based on some subalgebras of symmetries, several reductions and many group-invariant solutions are found for the pZK equation. One of the reduced partial differential equations is dealt using new generalized exponential rational function method which was proposed by Ghanbari and Inc (Eur. Phys. J. Plus 133: 142, 2018), to obtain closed-form analytical solutions. Obtained solutions are new solitary wave, multi-soliton and kink type which is significant in the field of plasma physics.

Comparative study of dust acoustic solitons in two-temperature ion homogeneous and inhomogeneous plasmas

The dust acoustic solitary waves are theoretically investigated in dusty plasmas for different cases of with and without density gradients. These low-frequency solitary waves are studied using appropriate Korteweg–de Vries equations obtained using relevant stretched coordinates. The soliton solutions in homogeneous plasma, weakly inhomogeneous plasma and strongly inhomogeneous plasma, are thoroughly investigated for studying the effect of different parameters like dust charge and density of all the plasma species on the soliton profiles. The combination of the dust charge with its number density changes the dynamics of the solitons and that is further affected by the number density of the hot ion with respect to the cold ions.

Small amplitude dust acoustic solitary wave in magnetized two ion temperature plasma

The characteristics of obliquely propagating dust acoustic solitary wave in magnetized dusty plasma are analysed by considering the plasma to have electrons, two-temperature ions and massive dust grains with heavy charge. The reductive perturbation technique is used to derive relevant Korteweg-deVries (KdV) equation. The effect of density and temperature of hot and cold ions, angle of wave propagation, and mass, charge and temperature of the dust grains on the soliton characteristic is investigated in greater detail. The situation of electron-depleted plasma is also uncovered.

Sagdeev Potential Approach for Quantum Dust Ion Acoustic Waves in an Electron-Positron-Ion-Dusty plasma

Using the one-dimensional quantum hydrodynamic (QHD) model including the Poisson equation, Sagdeev’s pseudopotential process is used to explore the propagation features of dust ion acoustic (DIA) solitary waves in an unmagnetized electron-positron-ion-dusty (e-p-i-d) quantum plasma. The asymptotic expansion is used to achieve the pseudopotential function for small values of the parameter H of quantum diffraction. QDIA solitary wave’s existence domain is explored in terms of real Mach number boundaries. The numerical modeling results demonstrate that the dust grains can affect not just the amplitude and width, but also the soliton’s domain of existence. The impacts of the quantum diffraction parameter on the soliton width are also addressed. It is also noted that the positron density may influence the propagation of the wave.