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A. Mannan

Publications and source records attributed to A. Mannan.

At least 19 recordsLinked to original sources

Large amplitude dust-acoustic solitary waves and double layers in nonthermal warm complex plasmas

Using a Sagdeev pseudopotential approach where the nonlinear structures are stationary in a comoving frame, the arbitrary or large amplitude dust-acoustic solitary waves and double layers have been studied in dusty plasmas containing warm positively charged dust and nonthermal distributed electrons and ions. Depending on the values of the critical Mach number, which varies with the plasma parameter, both supersonic and subsonic dust-acoustic solitary waves are found. It is found that our plasma system under consideration supports both positive and negative supersonic solitary waves, and only positive subsonic solitary waves and negative double layers. The parametric regimes for the existence of subsonic and supersonic dust-acoustic waves and how the polarity of solitary waves changes with plasma parameters are shown. It is observed that the solitary waves and double layers solution exist at the values of Mach number around its critical Mach number. The basic properties (amplitude, width, speed, etc.) of the solitary pulses and double layers are significantly modified by the plasma parameters (viz. ion to positive dust number density ratio, ion to electron temperature ratio, nonthermal parameter, positive dust temperature to ion temperature ratio, etc.). The applications of our present work in space environments (viz. cometary tails, Earth's mesosphere, Jupiter's magnetosphere, etc.) and laboratory devices, where nonthermal ions and electrons species along with positively charged dust species have been observed, are briefly discussed.

physics.plasm-ph

Three-dimensional modulation instability of dust-ion-acoustic waves and rogue waves in warm nonthermal magnetized plasmas

A theoretical investigation has been made to study the modulation stability/instability of three-dimensional dust-ion-acoustic wave packets in the warm magnetized complex plasma system in the presence of nonthermal distributed electrons and positrons species. The set of equations describing our plasma system has been reduced to a (3+1)-dimensional nonlinear Schrödinger equation by using the reductive perturbation method that is valid for finite but small amplitude limits. It is observed that both nonlinear and dispersive coefficients of (3+1)-dimensional nonlinear Schrödinger equation are significantly modified by the external magnetic field and transverse velocity perturbation. The regions of stable and unstable for the modulated dust-ion-acoustic waves have been examined numerically. Moreover, the dependence of modulation instability and rogue waves on the relevant plasma parameters is discussed. The implications of our theoretical results in space and laboratories magnetized dusty plasma medium is briefly discussed.

physics.plasm-ph

Electrostatic shock structures in a magnetized plasma having non-thermal particles

A rigorous theoretical investigation has been made on the nonlinear propagation of dust-ion-acoustic shock waves in a multi-component magnetized pair-ion plasma having inertial warm positive and negative ions, inertialess non-thermal electrons and positrons, and static negatively charged massive dust grains. The Burgers' equation is derived by employing reductive perturbation method. The plasma model supports both positive and negative shock structures in the presence of static negatively charged massive dust grains. It is found that the steepness of both positive and negative shock profiles declines with the increase of ion kinematic viscosity without affecting the height, and the temperature of the electrons enhances the amplitude of the shock profile. It is also observed that the increase in oblique angle rises the height of the positive shock profile, and the height of the positive shock wave increases with the number density of positron. The application of the findings from present investigation are briefly discussed.

physics.plasm-ph

Dust-ion-acoustic shock waves in magnetized plasma having super-thermal electrons

The propagation of dust-ion-acoustic shock waves (DIASHWs) in a three-component magnetized plasma having inertialess super-thermal electrons, inertial warm positive ions and negative dust grains has been investigated. A Burgers' equation is derived by employing the reductive perturbation method. Under consideration of inertial warm positive ions and negative dust grains, both positive and negative shock structures are numerically observed in the presence of super-thermal electrons. The effects of oblique angle ($δ$), spectral index ($κ$), kinematic viscosity ($η$), number density and charge state of the plasma species on the formation of the DIASHWs are examined. It is found that the positive and negative shock wave potentials increase with the oblique angle. It is also observed that the magnitude of the amplitude of positive and negative shock waves is not affected by the variation of the kinematic viscosity of plasma species but the steepness of the positive and negative shock waves decreases with kinematic viscosity of plasma species. The implications of our findings in space and laboratory plasmas are briefly discussed.

physics.plasm-ph

Obliquely propagating ion-acoustic shock waves in degenerate quantum plasma

A theoretical investigation has been carried out on the propagation of nonlinear ion-acoustic shock waves (IASHWs) in a collsionless magnetized degenerate quantum plasma system composed of inertial non-relativistic positively charged light and heavy ions, inertialess ultra-relativistically degenerate electrons and positrons. The reductive perturbation method has been employed to drive the Burgers' equation. It has been observed that under consideration, our plasma model supports only positive potential shock structure. It is also found that the amplitude and steepness of the IASHWs have been significantly modified by the variation of ion kinematic viscosity, oblique angle, number density, and charge state of the plasma species. The results of our present investigation will be helpful for understanding the propagation of IASHWs in white dwarfs and neutron stars.

physics.plasm-ph

Magnetized ion-acoustic shock waves in degenerate quantum plasma

A theoretical investigation has been carried out to examine the ion-acoustic shock waves (IASHWs) in a magnetized degenerate quantum plasma system containing inertialess ultra-relativistically degenerate electrons, and inertial non-relativistic positively charged heavy and light ions. The Burgers' equation is derived by employing reductive perturbation method. It can be seen that under consideration of non-relativistic positively charged heavy and light ions, the plasma model supports only positive electrostatic shock structure. It is also observed that the charge state and number density of the non-relativistic heavy and light ions enhance the amplitude of IASHWs, and the steepness of the shock profile is decreased with ion kinematic viscosity ($η$). The findings of our present investigation will be helpful in understanding the nonlinear propagation of IASHWs in white dwarfs and neutron stars.

physics.plasm-ph

Modulational instability of dust-ion-acoustic waves and associated first and second-order rogue waves in super-thermal plasma

A proper theoretical research has been carried out to explore the modulational instability (MI) conditions of dust-ion-acoustic (DIA) waves (DIAWs) in a three-component dusty plasma system containing inertialess $κ$-distributed electrons, and inertial warm positive ions and negative dust grains. The novel nonlinear Schrödinger equation (NLSE) has been derived by employing the reductive perturbation method. The analysis under consideration demonstrates two types of modes, namely, fast and slow DIA modes. The dispersion and nonlinear properties of the plasma medium, as well as the MI conditions of DIAWs and the configuration of the energetic rogue waves (RWs) associated with DIAWs in the Modulationally unstable regime, have been rigorously changed by the plasma parameters, namely, charge, mass, temperature, and number density of the plasma species. The findings of our investigation will be useful in understanding the criteria for the formation of electrostatic RWs in both astrophysical environments (viz., Jupiter's magnetosphere, cometary tails, Earth's mesosphere, Saturn's rings, etc.) and laboratory experiments (viz., Q-machines and Coulomb-crystal).

physics.plasm-ph

Ion-acoustic shock waves in magnetized pair-ion plasma

A theoretical investigation associated with obliquely propagating ion-acoustic shock waves (IASHWs) in a three-component magnetized plasma having inertialess non-extensive electrons, inertial warm positive and negative ions has been performed. A Burgers equation is derived by employing the reductive perturbation method. Our plasma model supports both positive and negative shock structures under the consideration of non-extensive electrons. It is found that the positive and negative shock wave potentials increase with the oblique angle ($δ$) which arises due to the external magnetic field. It is also observed that the magnitude of the amplitude of positive and negative shock waves is not effected by the variation of the ion kinematic viscosity but the steepness of the positive and negative shock waves decreases with ion kinematic viscosity. The implications of our findings in space and laboratory plasmas are briefly discussed.

physics.plasm-ph

Modulational instability of dust-ion-acoustic waves in pair-ion plasma having non-thermal non-extensive electrons

The modulational instability (MI) criteria of dust-ion-acoustic (DIA) waves (DIAWs) have been investigated in a four-component pair-ion plasma having inertial pair-ions, inertialess non-thermal non-extensive electrons, and immobile negatively charged massive dust grains. A nonlinear Schrödinger equation (NLSE) is derived by using reductive perturbation method. The nonlinear and dispersive coefficients of the NLSE can predict the modulationally stable and unstable parametric regimes of DIAWs and associated first and second order DIA rogue waves (DIARWs). The MI growth rate and the configuration of the DIARWs are examined, and it is found that the MI growth rate increases (decreases) with increasing the number density of the negatively charged dust grains in the presence (absence) of the negative ions. It is also observed that the amplitude and width of the DIARWs increase (decrease) with the negative (positive) ion mass. The implications of the results to laboratory and space plasmas are briefly discussed.

physics.plasm-ph

Dust-ion-acoustic rogue waves in dusty plasma having super-thermal electrons

The standard nonlinear Schrödinger equation (NLSE) is one of the elegant equations to find the information about the modulational instability criteria of dust-ion-acoustic (DIA) waves (DIAWs) and associated DIA rogue waves (DIARWs) in a three-component dusty plasma medium having inertialess super-thermal kappa distributed electrons, and inertial warm positive ions and negative dust grains. It can be seen that under the consideration of inertial warm ions along with inertial negatively charged dust grains, the plasma system supports both fast and slow DIA modes. The charge state and number density of the ion and dust grain are responsible to change the instability conditions of the DIAWs and the configuration of DIARWs. These results are to be considered the cornerstone for explaining the real puzzles in space and laboratory dusty plasmas.

physics.plasm-ph

Ion-acoustic rogue waves in double pair plasma having non-extensive particles

The modulational instability (MI) of ion-acoustic (IA) waves (IAWs) and associated IA rogue waves (IARWs) in double pair plasma containing non-extensive electrons, iso-thermal positrons, negatively and positively charged ions have been governed by the standard nonlinear Schrödinger equation (NLSE). It has been figured out from the numerical study of NLSE that the plasma system holds modulationally stable (unstable) region in which the dispersive and nonlinear coefficients of the NLSE have the opposite (same) signs. It is also found that the fundamental features of IAWs (viz., MI criteria, amplitude and width of the IARWs, etc.) are rigorously organized by the plasma parameters such as mass, charge state, and number density of the plasma components. The existing outcomes of our present study should be helpful for understanding the nonlinear features of IAWs (viz., MI and IARWs) in both laboratory and space plasmas.

physics.plasm-ph

First and second-order dust-ion-acoustic rogue waves in non-thermal plasma

A nonlinear Schrödinger equation (NLSE) has been derived by employing reductive perturbation method for investigating the modulational instability of dust-ion-acoustic waves (DIAWs) in a four-component plasma having stationary negatively charged dust grains, inertial warm ions, and inertialess non-thermal electrons and positrons. It is observed that under consideration, the plasma system supports both modulationally stable and unstable domains, which are determined by the sign of the dispersive and nonlinear coefficients of NLSE, of the DIAWs. It is also found that the nonlinearity as well as the height and width of the first and second-order rogue waves increases with the non-thermality of electron and positron. The relevancy of our present investigation to the observations in space plasmas is pinpointed.

physics.plasm-ph

Electrostatic dust-acoustic envelope solitons in an electron depleted plasma

A standard nonlinear Schrödinger equation has been established by using the reductive perturbation method to investigate the propagation of electrostatic dust-acoustic waves, and their modulational instability as well as the formation of localized electrostatic envelope solitons in an electron depleted unmagnetized dusty plasma system comprising opposite polarity dust grains and super-thermal positive ions. The relevant physical plasma parameters (viz., charge, mass, number density of positive and negative dust grains, and super-thermality of the positive ions, etc.) have rigorous impact to recognize the stability conditions of dust-acoustic waves. The present study is useful for understanding the mechanism of the formation of dust-acoustic envelope solitons associated with dust-acoustic waves in the laboratory and space environments.

physics.plasm-ph

Arbitrary amplitude nucleus-acoustic solitary waves in thermally degenerate plasma systems

A rigorous theoretical investigation is made of arbitrary amplitude nucleus acoustic solitary waves (SWs) in a fully ionized multi-nucleus plasma system (consisting of thermally degenerate electron species and non-degenerate warm light as well as heavy nucleus species). The pseudo-potential approach, which is valid for the arbitrary amplitude SWs, is employed. The subsonic and supersonic nucleus-acoustic SWs (which are found to be compressive) along with their basic features are identified. The basic properties of these subsonic and supersonic nucleus-acoustic SWs are found to be significantly modified by the effects of non and ultra-relativistically degenerate electron species, dynamics of heavy nucleus species, number densities as well as adiabatic temperatures of light and heavy nucleus species, etc. It shown that the presence of heavy nucleus species with non-degenerate (isothermal) electron species supports the existence of subsonic nucleus-acoustic SWs, and that the effects of electron degeneracies and light and heavy nucleus temperatures reduce the possibility for the formation of these subsonic nucleus-acoustic SWs. The amplitude of the supersonic nucleus-acoustic SWs in the situation of non-relativistically degenerate electron species is much smaller than that of ultra-relativistically degenerate electron species, but is much larger than that of isothermal electron species. The rise of adiabatic temperature of light or heavy nucleus species causes to decrease (increase) the amplitude (width) of the subsonic and supersonic nucleus acoustic SWs. On the other hand, the increase in the number density of light or heavy nucleus species causes to increase (decrease) the amplitude (width) of the subsonic and supersonic nucleus acoustic SWs. The results of this investigation are found to be applicable in laboratory, space, and astrophysical plasma systems.

physics.plasm-ph

Modulational instability of dust-ion-acoustic waves and associated envelope solitons in a non-thermal plasma

A theoretical investigation has been made to understand the mechanism of the formation of both bright and dark envelope soltions associated with dust-ion-acoustic waves (DIAWs) propagating in an unmagnetized three component dusty plasma medium having inertial warm positive ions and negative dust grains, and inertialess non-thermal Cairns' distributed electrons. A nonlinear Schrödinger equation (NLSE) is derived by employing reductive perturbation method. The effects of plasma parameters, viz., $γ_2$ (the ratio of the positive ion temperature to electron temperature times the charge state of ion) and $ν$ (the ratio of the charge state of negative dust grain to positive ion) on the modulational instability of DIAW which is governed by NLSE, are extensively studied. It is found that increasing the value of the ion (electron) temperature reduces (enhances) the critical wave number ($k_c$). The results of our present theoretical work may be used to interpret the nonlinear electrostatic structures which can exist in many astrophysical environments and laboratory plasmas.

physics.plasm-ph

Dust-acoustic envelope solitons in an electron depleted plasma

A theoretical investigation of the modulational instability (MI) of dust-acoustic waves (DAWs) by deriving a nonlinear Schrödinger equation in an electron depleted opposite polarity dusty plasma system containing non-extensive positive ions has been presented. The conditions for MI of DAWs and formation of envelope solitons have been investigated. The sub-extensivity and super-extensivity of positive ions are seen to change the stable and unstable parametric regimes of DAWs. The addition of dust grains causes to change the width of both bright and dark envelope solitons. The findings of this study may be helpful to understand the nonlinear features of DAWs in Martian atmosphere, cometary tail, solar system, and in laboratory experiments, etc.

physics.plasm-ph

Modulational instability of ion-acoustic waves and associated envelope solitons in a multi-component plasma

A generalized plasma model having warm ions, iso-thermal electrons, super-thermal electrons and positrons is considered to theoretically investigate the modulational instability (MI) of ion-acoustic waves (IAWs). A standard nonlinear Schrödinger equation is derived by applying reductive perturbation method to study the MI of IAWs. It is observed that the MI criteria of the IAWs are significantly modified by various plasma parameters. The present results should be useful in understanding the conditions for MI of IAWs which are relevant to both space and laboratory plasma system.

physics.plasm-ph

Dust-acoustic rogue waves in non-thermal plasmas

The nonlinear propagation of dust-acoustic (DA) waves (DAWs) and associated DA rogue waves (DARWs), which are governed by the nonlinear Schrödinger equation, is theoretically investigated in a four component plasma medium containing inertial warm negatively charged dust grains and inertialess non-thermal distributed electrons as well as iso-thermal positrons and ions. The modulationally stable and unstable parametric regimes of DAWs are numerically studied for the plasma parameters. Furthermore, the effects of temperature ratios of ion-to-electron and ion-to-positron, and the number density of ion and dust grains on the DARWs are investigated. It is observed that the physical parameters play a very crucial role in the formation of DARWs. These results may be useful in understanding the electrostatic excitations in dusty plasmas in space and laboratory situations.

physics.plasm-ph