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Papers by Wael El-Taibany

Research paper thumbnail of Cherenkov radiation waves in inhomogeneous dusty plasma

Physics of Wave Phenomena, 2013

ABSTRACT A kinetic theory is employed to study Cherenkov wave in an inhomogeneous dusty plasma. T... more ABSTRACT A kinetic theory is employed to study Cherenkov wave in an inhomogeneous dusty plasma. Two different frequency regimes are considered incorporating the plasma species temperatures. The dispersion relation for one-dimensional Cherenkov wave is derived and analyzed. The plasma species temperatures, their cyclotron frequencies, and the plasma density inhomogeneity effect the growth/damping of Cherenkov waves. It is shown that the plasma inhomogeneity contributes to damping of Cherenkov waves.

Research paper thumbnail of Nonlinear electromagnetic perturbations in a degenerate electron–positron plasma

Advances in Space Research, 2012

... University, PO Box 960, Abha, Kingdom of Saudi Arabia and Department of Physics, Faculty of S... more ... University, PO Box 960, Abha, Kingdom of Saudi Arabia and Department of Physics, Faculty of Science, Mansoura University, Damietta Branch, New Damietta, PO Box 34517, Egypt AA Mamun Department of Physics, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh ...

Research paper thumbnail of Three-Dimensional Rogue Waves in Earth’s Ionosphere

Galaxies

The modulational instability of ion-acoustic waves (IAWs) in a four-component magneto-plasma syst... more The modulational instability of ion-acoustic waves (IAWs) in a four-component magneto-plasma system consisting of positive–negative ions fluids and non-Maxwellian (r,q) distributed electrons and positrons, is investigated. The basic system of fluid equations is reduced to a three-dimensional (3D) nonlinear Schrödinger Equation (NLS). The domains of the IAWs stability are determined and are found to be strongly affected by electrons and positrons spectral parameters r and q and temperature ratio Tp/Te (Tp and Te are positrons and electrons temperatures, respectively). The existence domains, where we can observe the ion-acoustic rogue waves (IARWs) are determined. The basic features of IARWs are analyzed numerically against the distribution parameters and the other system physical parameters as Tp/Te and the external magnetic field strength. Moreover, a comparison between the first- and second-order rogue waves solution is presented. Our results show that the nonlinearity of the syste...

Research paper thumbnail of Ion Acoustic Solitary Waves and Double-Layer Propagation in an Unmagnetized Plasma With Degenerate Electrons

IEEE Transactions on Plasma Science

The nonlinear propagation of ion-acoustic (IA) solitons and double layers (DLs) in a nonrelativis... more The nonlinear propagation of ion-acoustic (IA) solitons and double layers (DLs) in a nonrelativistic degenerate plasma is investigated. This plasma model consists of negative ions, positive ions, and degenerate electrons. The Gardner equation is derived using the reductive perturbation technique. Both the Gardner solitons and DLs exist in our model. The characteristics of these waves are analyzed. It is found that the properties of these structures depend on the densities, the temperature, and the mass ratio of the ions and also on the chemical potential of the degenerate electrons. Additionally, it is found that the system sustains two different IA modes with different phase velocities known as slow and fast IA modes. These investigations can be useful in space plasma situations that contain opposite polarity ions such as compact astrophysical objects like white dwarfs.

Research paper thumbnail of Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons

Alfarama Journal of Basic & Applied Sciences

In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relati... more In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relativistic, warm, unmagnetized and adiabatic plasma whose constitutes are ion fluid and superthermally distributed electrons using the multiple scales approach. The basic system of equations is reduced to a finite wave number nonlinear Schrödinger-type equation at the second order of the perturbation theory and for small wave number limit the nonlinear Schrödinger-type equation is derived. Moreover the reductive perturbation technique is applied to this system and Korteweg-de Vries equation is obtained. For small wavenumber limit, it is found that the dispersion coefficient and nonlinear coefficient of the nonlinear Schrödingertype equation are reduced to the coefficients of nonlinear Schrödinger-type equation obtained from Korteweg-de Vries (K-dV) equation. The dependence of the phase velocity and the group as well as the domain of the stability and the instability on the temperature ratio, the relativistic factor and the superthermal parameter is investigated.

Research paper thumbnail of Bifurcation analysis of nonlinear and supernonlinear dust-acoustic waves in a dusty plasma using the generalized (r , q ) distribution function for ions and electrons

Contributions to Plasma Physics

Research paper thumbnail of Ion-acoustic solitary waves in multi-ion dusty plasmas

AIP Conference Proceedings, 2008

Research paper thumbnail of Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

Physics of Plasmas, 2015

Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in ... more Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in a strongly coupled dusty plasma containing nonthermal distributed ions are studied. Employing a reductive perturbation technique, a modified nonlinear Schr€ odinger equation including the geometrical effect is derived. The influences of nonthermal ions, polarization force, and the geometries on the modulational instability conditions are analyzed and the possible rogue wave structures are discussed in detail. It is found that the spherical DA waves are more structurally stable to perturbations than the cylindrical ones. Possible applications of these theoretical findings are briefly discussed. V

Research paper thumbnail of Effect of anisotropic dust pressure and superthermal electrons on propagation and stability of dust acoustic solitary waves

Physics of Plasmas, 2015

ABSTRACT Employing the reductive perturbation technique, Zakharov–Kuznetzov (ZK) equation is deri... more ABSTRACT Employing the reductive perturbation technique, Zakharov–Kuznetzov (ZK) equation is derived for dust acoustic (DA) solitary waves in a magnetized plasma which consists the effects of dust anisotropic pressure, arbitrary charged dust particles, Boltzmann distributed ions, and Kappa distributed superthermal electrons. The ZK solitary wave solution is obtained. Using the small-k expansion method, the stability analysis for DA solitary waves is also discussed. The effects of the dust pressure anisotropy and the electron superthermality on the basic characteristics of DA waves as well as on the three-dimensional instability criterion are highlighted. It is found that the DA solitary wave is rarefactive (compressive) for negative (positive) dust. In addition, the growth rate of instability increases rapidly as the superthermal spectral index of electrons increases with either positive or negative dust grains. A brief discussion for possible applications is included.

Research paper thumbnail of Manal EPJD

Research paper thumbnail of Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

Physics of Plasmas

Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in ... more Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in a strongly coupled dusty plasma containing nonthermal distributed ions are studied. Employing a reductive perturbation technique, a modified nonlinear Schr€odinger equation including the geometrical effect is derived. The influences of nonthermal ions, polarization force, and the geometries on the modulational instability conditions are analyzed and the possible rogue wave structures are discussed in detail. It is found that the spherical DA waves are more structurally stable to perturbations than the cylindrical ones. Possible applications of these theoretical findings are briefly discussed.

Research paper thumbnail of Propagation of dust-acoustic radiation in cosmic dust-laden plasmas‎

Research paper thumbnail of PhysPlasmas 12 032307

Research paper thumbnail of PhysicaScripta 70 317 321 2004 Mona

Research paper thumbnail of Contribution of higher-order nonlinearity to nonlinear ion acoustic ‎waves in a weakly relativistic warm plasma with nonthermal electrons‎

Research paper thumbnail of 2008C04

Research paper thumbnail of Nonlinear Electromagnetic Waves in a Degenerate Electron-Positron Plasma

Brazilian Journal of Physics, 2015

ABSTRACT Using the reductive perturbation technique (RPT), the nonlinear propagation of magnetoso... more ABSTRACT Using the reductive perturbation technique (RPT), the nonlinear propagation of magnetosonic solitary waves in an ultracold, degenerate (extremely dense) electron-positron (EP) plasma (containing ultracold, degenerate electron, and positron fluids) is investigated. The set of basic equations is reduced to a Korteweg-de Vries (KdV) equation for the lowest-order perturbed magnetic field and to a KdV type equation for the higher-order perturbed magnetic field. The solutions of these evolution equations are obtained. For better accuracy and searching on new features, the new solutions are analyzed numerically based on compact objects (white dwarf) parameters. It is found that including the higher-order corrections results as a reduction (increment) of the fast (slow) electromagnetic wave amplitude but the wave width is increased in both cases. The ranges where the RPT can describe adequately the total magnetic field including different conditions are discussed.

Research paper thumbnail of Low frequency localized wavepackets in dusty plasmas with opposite charge polarity dust components

Plasma Physics and Controlled Fusion, 2008

The reductive perturbation technique is employed to investigate the modulational instability of d... more The reductive perturbation technique is employed to investigate the modulational instability of dust-acoustic (DA) waves propagating in a four-component dusty plasma. The dusty plasma consists of both positive-and negative-charge dust grains, characterized by a different mass, temperature, and density, in addition to a background of Maxwellian electrons and ions. Relying on a multi-fluid plasma model and employing a multiple scales technique, a nonlinear Schrödinger type equation (NLSE) is obtained for the electric potential amplitude perturbation. The occurrence of localized electrostatic wavepackets is shown, in the form of oscillating structures whose modulated envelope is modelled as a soliton (or multi-soliton) solution of the NLSE. The DA wave characteristics, as well as the associated stability thresholds, are studied analytically and numerically. The relevance of these theoretical results with dusty plasmas observed in cosmic and laboratory environments is analyzed in detail, by considering realistic multi-component plasma configurations observed in the polar mesosphere, as well in laboratory experiments.

Research paper thumbnail of On the higher-order solution of the dust-acoustic solitary waves in a warm magnetized dusty plasma with dust charge variation

Physics of Plasmas, 2004

The higher-order contribution in reductive perturbation theory is studied for small-butfinite-amp... more The higher-order contribution in reductive perturbation theory is studied for small-butfinite-amplitude dust-acoustic solitary waves in warm magnetized three-component dusty plasmas comprised of variational charged dust grains, isothermal ions, and electrons. The basic set of fluid equations is reduced to the Zakharov-Kuznetsov equation for the first-order perturbed potential and a linear inhomogeneous Zakharov-Kuznetsov-type equation for the second-order perturbed potential. Stationary solutions

Research paper thumbnail of On the instability of electrostatic waves in a nonuniform electron–positron magnetoplasma

Physics Letters A, 2008

The dispersion properties of three-dimensional electrostatic waves in a nonuniform electron-posit... more The dispersion properties of three-dimensional electrostatic waves in a nonuniform electron-positron (EP) magnetoplasma are analyzed. A new dispersion relation is derived by use of the electron and positron density responses arising from the electron and positron continuity and Poisson equations. In the local approximation, the dispersion relation admits two wave modes with different velocities. The growth rates of various modes are illustrated both analytically and numerically. Considering the temperature gradients produces a linearly stable transverse mode. The growth rate of the slow mode instability due to the density inhomogeneity only is the highest one, though it appears at higher thermal energy. The angle of the wave propagation affects drastically on the instability features in each case. The applications of the present analysis are briefly discussed.

Research paper thumbnail of Cherenkov radiation waves in inhomogeneous dusty plasma

Physics of Wave Phenomena, 2013

ABSTRACT A kinetic theory is employed to study Cherenkov wave in an inhomogeneous dusty plasma. T... more ABSTRACT A kinetic theory is employed to study Cherenkov wave in an inhomogeneous dusty plasma. Two different frequency regimes are considered incorporating the plasma species temperatures. The dispersion relation for one-dimensional Cherenkov wave is derived and analyzed. The plasma species temperatures, their cyclotron frequencies, and the plasma density inhomogeneity effect the growth/damping of Cherenkov waves. It is shown that the plasma inhomogeneity contributes to damping of Cherenkov waves.

Research paper thumbnail of Nonlinear electromagnetic perturbations in a degenerate electron–positron plasma

Advances in Space Research, 2012

... University, PO Box 960, Abha, Kingdom of Saudi Arabia and Department of Physics, Faculty of S... more ... University, PO Box 960, Abha, Kingdom of Saudi Arabia and Department of Physics, Faculty of Science, Mansoura University, Damietta Branch, New Damietta, PO Box 34517, Egypt AA Mamun Department of Physics, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh ...

Research paper thumbnail of Three-Dimensional Rogue Waves in Earth’s Ionosphere

Galaxies

The modulational instability of ion-acoustic waves (IAWs) in a four-component magneto-plasma syst... more The modulational instability of ion-acoustic waves (IAWs) in a four-component magneto-plasma system consisting of positive–negative ions fluids and non-Maxwellian (r,q) distributed electrons and positrons, is investigated. The basic system of fluid equations is reduced to a three-dimensional (3D) nonlinear Schrödinger Equation (NLS). The domains of the IAWs stability are determined and are found to be strongly affected by electrons and positrons spectral parameters r and q and temperature ratio Tp/Te (Tp and Te are positrons and electrons temperatures, respectively). The existence domains, where we can observe the ion-acoustic rogue waves (IARWs) are determined. The basic features of IARWs are analyzed numerically against the distribution parameters and the other system physical parameters as Tp/Te and the external magnetic field strength. Moreover, a comparison between the first- and second-order rogue waves solution is presented. Our results show that the nonlinearity of the syste...

Research paper thumbnail of Ion Acoustic Solitary Waves and Double-Layer Propagation in an Unmagnetized Plasma With Degenerate Electrons

IEEE Transactions on Plasma Science

The nonlinear propagation of ion-acoustic (IA) solitons and double layers (DLs) in a nonrelativis... more The nonlinear propagation of ion-acoustic (IA) solitons and double layers (DLs) in a nonrelativistic degenerate plasma is investigated. This plasma model consists of negative ions, positive ions, and degenerate electrons. The Gardner equation is derived using the reductive perturbation technique. Both the Gardner solitons and DLs exist in our model. The characteristics of these waves are analyzed. It is found that the properties of these structures depend on the densities, the temperature, and the mass ratio of the ions and also on the chemical potential of the degenerate electrons. Additionally, it is found that the system sustains two different IA modes with different phase velocities known as slow and fast IA modes. These investigations can be useful in space plasma situations that contain opposite polarity ions such as compact astrophysical objects like white dwarfs.

Research paper thumbnail of Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons

Alfarama Journal of Basic & Applied Sciences

In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relati... more In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relativistic, warm, unmagnetized and adiabatic plasma whose constitutes are ion fluid and superthermally distributed electrons using the multiple scales approach. The basic system of equations is reduced to a finite wave number nonlinear Schrödinger-type equation at the second order of the perturbation theory and for small wave number limit the nonlinear Schrödinger-type equation is derived. Moreover the reductive perturbation technique is applied to this system and Korteweg-de Vries equation is obtained. For small wavenumber limit, it is found that the dispersion coefficient and nonlinear coefficient of the nonlinear Schrödingertype equation are reduced to the coefficients of nonlinear Schrödinger-type equation obtained from Korteweg-de Vries (K-dV) equation. The dependence of the phase velocity and the group as well as the domain of the stability and the instability on the temperature ratio, the relativistic factor and the superthermal parameter is investigated.

Research paper thumbnail of Bifurcation analysis of nonlinear and supernonlinear dust-acoustic waves in a dusty plasma using the generalized (r , q ) distribution function for ions and electrons

Contributions to Plasma Physics

Research paper thumbnail of Ion-acoustic solitary waves in multi-ion dusty plasmas

AIP Conference Proceedings, 2008

Research paper thumbnail of Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

Physics of Plasmas, 2015

Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in ... more Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in a strongly coupled dusty plasma containing nonthermal distributed ions are studied. Employing a reductive perturbation technique, a modified nonlinear Schr€ odinger equation including the geometrical effect is derived. The influences of nonthermal ions, polarization force, and the geometries on the modulational instability conditions are analyzed and the possible rogue wave structures are discussed in detail. It is found that the spherical DA waves are more structurally stable to perturbations than the cylindrical ones. Possible applications of these theoretical findings are briefly discussed. V

Research paper thumbnail of Effect of anisotropic dust pressure and superthermal electrons on propagation and stability of dust acoustic solitary waves

Physics of Plasmas, 2015

ABSTRACT Employing the reductive perturbation technique, Zakharov–Kuznetzov (ZK) equation is deri... more ABSTRACT Employing the reductive perturbation technique, Zakharov–Kuznetzov (ZK) equation is derived for dust acoustic (DA) solitary waves in a magnetized plasma which consists the effects of dust anisotropic pressure, arbitrary charged dust particles, Boltzmann distributed ions, and Kappa distributed superthermal electrons. The ZK solitary wave solution is obtained. Using the small-k expansion method, the stability analysis for DA solitary waves is also discussed. The effects of the dust pressure anisotropy and the electron superthermality on the basic characteristics of DA waves as well as on the three-dimensional instability criterion are highlighted. It is found that the DA solitary wave is rarefactive (compressive) for negative (positive) dust. In addition, the growth rate of instability increases rapidly as the superthermal spectral index of electrons increases with either positive or negative dust grains. A brief discussion for possible applications is included.

Research paper thumbnail of Manal EPJD

Research paper thumbnail of Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

Physics of Plasmas

Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in ... more Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in a strongly coupled dusty plasma containing nonthermal distributed ions are studied. Employing a reductive perturbation technique, a modified nonlinear Schr€odinger equation including the geometrical effect is derived. The influences of nonthermal ions, polarization force, and the geometries on the modulational instability conditions are analyzed and the possible rogue wave structures are discussed in detail. It is found that the spherical DA waves are more structurally stable to perturbations than the cylindrical ones. Possible applications of these theoretical findings are briefly discussed.

Research paper thumbnail of Propagation of dust-acoustic radiation in cosmic dust-laden plasmas‎

Research paper thumbnail of PhysPlasmas 12 032307

Research paper thumbnail of PhysicaScripta 70 317 321 2004 Mona

Research paper thumbnail of Contribution of higher-order nonlinearity to nonlinear ion acoustic ‎waves in a weakly relativistic warm plasma with nonthermal electrons‎

Research paper thumbnail of 2008C04

Research paper thumbnail of Nonlinear Electromagnetic Waves in a Degenerate Electron-Positron Plasma

Brazilian Journal of Physics, 2015

ABSTRACT Using the reductive perturbation technique (RPT), the nonlinear propagation of magnetoso... more ABSTRACT Using the reductive perturbation technique (RPT), the nonlinear propagation of magnetosonic solitary waves in an ultracold, degenerate (extremely dense) electron-positron (EP) plasma (containing ultracold, degenerate electron, and positron fluids) is investigated. The set of basic equations is reduced to a Korteweg-de Vries (KdV) equation for the lowest-order perturbed magnetic field and to a KdV type equation for the higher-order perturbed magnetic field. The solutions of these evolution equations are obtained. For better accuracy and searching on new features, the new solutions are analyzed numerically based on compact objects (white dwarf) parameters. It is found that including the higher-order corrections results as a reduction (increment) of the fast (slow) electromagnetic wave amplitude but the wave width is increased in both cases. The ranges where the RPT can describe adequately the total magnetic field including different conditions are discussed.

Research paper thumbnail of Low frequency localized wavepackets in dusty plasmas with opposite charge polarity dust components

Plasma Physics and Controlled Fusion, 2008

The reductive perturbation technique is employed to investigate the modulational instability of d... more The reductive perturbation technique is employed to investigate the modulational instability of dust-acoustic (DA) waves propagating in a four-component dusty plasma. The dusty plasma consists of both positive-and negative-charge dust grains, characterized by a different mass, temperature, and density, in addition to a background of Maxwellian electrons and ions. Relying on a multi-fluid plasma model and employing a multiple scales technique, a nonlinear Schrödinger type equation (NLSE) is obtained for the electric potential amplitude perturbation. The occurrence of localized electrostatic wavepackets is shown, in the form of oscillating structures whose modulated envelope is modelled as a soliton (or multi-soliton) solution of the NLSE. The DA wave characteristics, as well as the associated stability thresholds, are studied analytically and numerically. The relevance of these theoretical results with dusty plasmas observed in cosmic and laboratory environments is analyzed in detail, by considering realistic multi-component plasma configurations observed in the polar mesosphere, as well in laboratory experiments.

Research paper thumbnail of On the higher-order solution of the dust-acoustic solitary waves in a warm magnetized dusty plasma with dust charge variation

Physics of Plasmas, 2004

The higher-order contribution in reductive perturbation theory is studied for small-butfinite-amp... more The higher-order contribution in reductive perturbation theory is studied for small-butfinite-amplitude dust-acoustic solitary waves in warm magnetized three-component dusty plasmas comprised of variational charged dust grains, isothermal ions, and electrons. The basic set of fluid equations is reduced to the Zakharov-Kuznetsov equation for the first-order perturbed potential and a linear inhomogeneous Zakharov-Kuznetsov-type equation for the second-order perturbed potential. Stationary solutions

Research paper thumbnail of On the instability of electrostatic waves in a nonuniform electron–positron magnetoplasma

Physics Letters A, 2008

The dispersion properties of three-dimensional electrostatic waves in a nonuniform electron-posit... more The dispersion properties of three-dimensional electrostatic waves in a nonuniform electron-positron (EP) magnetoplasma are analyzed. A new dispersion relation is derived by use of the electron and positron density responses arising from the electron and positron continuity and Poisson equations. In the local approximation, the dispersion relation admits two wave modes with different velocities. The growth rates of various modes are illustrated both analytically and numerically. Considering the temperature gradients produces a linearly stable transverse mode. The growth rate of the slow mode instability due to the density inhomogeneity only is the highest one, though it appears at higher thermal energy. The angle of the wave propagation affects drastically on the instability features in each case. The applications of the present analysis are briefly discussed.