It is found that a dusty plasma with inertial dust fluid and Boltzmann distributed ions admits only negative solitary potentials associated nonlinear dust-acoustic waves. The dynamics of small-amplitude disturbances governed by the Korteweg–de Vries (KdV) equation, stationary solution which assumes inverted bell-shaped secant hyperbolic squared profile. ion density perturbations are, on other hand, positive. can be identified as structures in low-temperature plasmas such those laboratory...

The properties of cylindrical and spherical dust ion–acoustic solitary waves (DIASWs) in an unmagnetized dusty plasma, whose constituents are inertial ions, Boltzmann electrons, stationary particles, investigated by employing the reductive perturbation method. modified Korteweg–de Vries equation is derived its numerical solutions obtained. It has been found that DIASWs a nonplanar or geometry differ from those planar one-dimensional geometry.

Three important classes of nonlinear phenomena, namely solitons, shocks and vortices in dusty plasmas, have been discussed. The static mobile charged dust grains considered order to study all these phenomena. effects nonplanar geometry, grain charge fluctuations, fluid temperature, vortex-like ion distribution, strong correlation etc on the properties ion-acoustic/dust-acoustic solitons also analysed. implications theoretical investigations experimental observations soliton shock formation...

The effects of vortex-like and non-thermal ion distributions are incorporated in the study nonlinear dust-acoustic waves an unmagnetized dusty plasma. It is found that owing to departure from Boltzmann distribution a phase space distribution, dynamics small but finite amplitude governed by modified Kortweg–de Vries equation. latter admits stationary solitary wave solution, which has larger amplitude, smaller width, higher propagation velocity than involving adiabatic ions. On other hand,...

The book Introduction to Plasma Physics by Shukla and Mamun deals with various aspects of collective processes in dusty plasmas. first introductory chapters review dust charging the forces on grains plasma. next two give an elaborate description waves instabilities present In our opinion this makes a must for scientists involved plasma research as time these phenomena are clearly explained catalogued single work. Magnetic well non-magnetic plasmas treated where applicable examples from...

Solitary waves in an ultrarelativistic degenerate dense plasma have been investigated by the reductive perturbation method. The modified Korteweg–de Vries equation has derived and its numerical solutions analyzed to identify basic features of spherical electrostatic solitary structures that may form such a plasma. implications our results compact astrophysical objects, particularly white dwarfs, briefly discussed.

Properties of low-frequency electrostatic structures (solitary and shock waves) associated with dust-acoustic waves (DAWs) in a magnetized dusty plasma the presence κ-distributed positrons electrons have been examined. The Zakharov–Kuznetsov–Burgers equation has derived by adopting reductive perturbation approach. solitary wave solution also obtained for different limiting cases to analyze basic features waves. propagation properties DAWs are modified significantly due variation...

Effects of ion temperature on compressive and rarefactive ion-acoustic solitary waves, which have been found to coexist in non-thermal plasmas, are investigated by the pseudopotential approach, is valid for arbitrary amplitude waves. It shown that effects change minimum value \ensuremath{\alpha} (the parameter determines number nonthermal electrons present plasma under consideration) as well M Mach number) these waves also width cold ions, results completely agree with existing published...

A theoretical investigation is carried out for understanding the properties of obliquely propagating electron-acoustic solitary waves (EASWs) in a magnetized plasma whose constituents are cold electron fluid, hot electrons obeying vortex-like distribution, and stationary ions. It found that present model supports EASWs having positive potential, which corresponds to dip (hump) (hot) number density. The effects external magnetic field obliqueness significantly change basic (viz. amplitude...

It is shown that the nonlinear propagation of dust-acoustic waves in a strongly coupled dusty plasma governed by Korteweg-de Vries-Burgers (K-dV-Burgers) equation. The latter derived from set generalized hydrodynamic equations for correlated dust grains, as well Boltzmann distribution electrons and ions. Possible stationary solutions K-dV-Burgers equation are represented terms monotonic/oscillatory shock profiles.

Recent observations reveal that plasmas in cometary tails contain charged dust grains of positive and negative polarities. Our objective here is to show such a two‐component dusty plasma supports dust‐Langmuir dust‐acoustic waves. The latter the nonlinear regime propagate form localized potentials. role large amplitude potential structures for trapping formation layers opposite polarity discussed.

The nonlinear propagation of the dust ion-acoustic waves has been investigated accounting for charge fluctuation dynamics stationary grains in an unmagnetized dusty plasma. Korteweg-de Vries equation, as well Vries-Burgers are derived by employing reductive perturbation method. It shown that fluctuations produce a dissipation which is responsible shock waves. Conditions formation solitary and their properties clearly explained. implications our investigations to both space laboratory plasmas...

A strongly coupled dusty plasma containing correlated negatively charged dust grains and weakly (Maxwellian) electrons ions has been considered. The effects of polarization force (which arises due to the interaction between thermal highly grains) effective temperature from electrostatic interactions among pressure) on dust-acoustic (DA) solitary shock waves propagating in such a are taken into account. DA found exist with negative potential only. It shown that strong correlation is source...

The nonlinear propagation of the dust-acoustic (DA) waves in a strongly coupled dusty plasma containing correlated arbitrarily (positively or negatively) charged dust and weakly Boltzmann electrons ions has been investigated by employing generalized hydrodynamic model reductive perturbation method. It shown that strong correlation among is source dissipation responsible for formation DA shock such plasma. also found with positive (negative) potential are formed positively (negatively) dust....

The properties of solitary and shock structures associated with nonlinear ion modes in a dense plasma strongly coupled nondegenerate ions degenerate electron fluids are presented. For this purpose, we have used the viscoelastic fluid model for ions, inertialess momentum equation weakly ultrarelativistic pressure laws fluids, Poisson's to derive Burgers Kortweg-de Vries equations. Possible stationary solutions latter structures, respectively. It is found that speed, amplitude, width waves...

A rigorous theoretical investigation has been made on the formation of nonlinear structures (viz., solitary waves, double layers) in a dusty electron-positron-ion plasma (containing inertialess degenerate electrons and positrons, cold, mobile, inertial ions, negatively charged stationary dust). The pseudo potential method employed this investigation. basic features waves layers, which are associated with positive ion dynamics pressures identified. co-existence negative existence either or...

We consider the nonlinear propagation of electron‐acoustic waves in a plasma composed cold electron fluid, hot electrons obeying trapped/vortex‐like distribution, and stationary ions. The properties small but finite amplitude solitary (EASWs) are studied by employing reductive perturbation technique, whereas those arbitrary EASWs investigated means pseudopotential approach. It is found that present model supports having positive potential, which corresponds to hole (hump) (hot) number...

Obliquely propagating ion-acoustic solitons in a magnetized plasma consisting of warm adiabatic ions and nonthermal electrons have been investigated. The reductive perturbation method has employed to derive the Korteweg-de Vries equation which admits solitary wave solution for small amplitude limit. highly nonlinear situation also studied by numerical full system equations. presence changes nature solitons. In limit soliton may change from compressive rarefactive, while equations allow...

The role of negative ions on the charging dust grains in a plasma is examined. Two models for ion distributions are considered. These streaming and Boltzmannian ions. It found that effects number density, charge, speed significantly affect grain surface potential or charge.