Dust ion‐acoustic solitons collision in weakly relativistic plasmas with superthermality‐distributed electrons and positrons: Higher‐order phase shifts

El-Shamy, E. F.; El-Shewy, Ε. K.; Abdo, N. F.; Abdellahi, Majid; Al-Hagan, Ola

doi:10.1002/ctpp.201800095

Cited by 12 publications

(11 citation statements)

References 42 publications

(138 reference statements)

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“…In some works, a lowest order analysis led to the KdV [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] or the Nonlinear Schrödinger equation [16][17]. In others, the analysis went as far as generating the KdV equation with a first-order perturbation [18][19][20].…”

Section: Ion Acoustic Wave Equationsmentioning

confidence: 99%

“…They have been called obstacles to asymptotic integrability [21][22][23][24][25][26][27][28][29][30][31][32][33]. The previous studies of weak relativistic effects [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] have missed these effects as they did not perform a second order analysis.…”

Section: Generation Of Dispersive Wavesmentioning

confidence: 99%

“…This has been done in the literature with the scaling of Eqs. (5) and (6) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. It will be also adopted here, but with the scaling of Eq.…”

Section: Two Small Parameters Vs One Small Parametermentioning

confidence: 99%

See 2 more Smart Citations

Ion Acoustic Waves in Weakly Relativistic Plasma—Separation of Relativistic and Electron-Temperature Effects

Zarmi¹

2021

JAMC

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The choice of the expansion parameter employed in the analysis of the equations of weakly relativistic plasma affects the physical significance of the results. Traditionally, the small parameter employed in the non-relativistic and weak relativistic limits has been the order of magnitude of (v/v 0), where v is the ion velocity, and v 0 is proportional to the average electron velocity. However, in the weak relativistic case, the order of magnitude of (v/c), where c is the speed of light is the more natural choice. The resulting KdV equation with perturbations through second order is analyzed through a Normal Form expansion. The analysis exposes physical effects in corrections beyond lowest order, which hitherto have not be identified: (1) Effect of localized soliton interaction region; (2) Long-range interactions among solitons; (3) Dispersive waves generated by soliton interactions. In addition, the analysis provides information regarding: (1) Clear distinction between non-relativistic and weak relativistic effects; (2) Clear separation between relativistic and electron-temperature effects; (3) Variation of the effective small parameter used in the series expansion of the solution as the average electron kinetic energy is increased. These qualitative features do not depend on the details of the electron-gas thermodynamic distribution.

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Section: Ion Acoustic Wave Equationsmentioning

confidence: 99%

Section: Generation Of Dispersive Wavesmentioning

confidence: 99%

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Ion Acoustic Waves in Weakly Relativistic Plasma—Separation of Relativistic and Electron-Temperature Effects

Zarmi¹

2021

JAMC

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“…Just to mention some of the most recent ones, the collision properties of overtaking small-amplitude supersolitons, as well as solitons with opposite polarities in a plasma consisting of cold ions and electrons with twotemperature Boltzmann energy distributions were investigated in [9,10]. The effect of relativistic corrections to the electron kinetics on wave propagation was discussed in [11]. Ion acoustic solitons in multi-ion plasmas have been analyzed in [12,13].…”

Section: Introductionmentioning

confidence: 99%

Molecular dynamics investigation of soliton propagation in a two‐dimensional Yukawa liquid

Hartmann

Masheyeva

Dzhumagulova

2020

Contributions to Plasma Physics

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We investigate via Molecular Dynamics simulations the propagation of solitons in a twodimensional many-body system characterized by Yukawa interaction potential. The solitons are created in an equilibrated system by the application of electric field pulses. Such pulses generate pairs of solitons, which are characterized by a positive and negative density peak, respectively, and which propagate into opposite directions. At small perturbation, the features propagate with the longitudinal sound speed, form which an increasing deviation is found at higher density perturbations. An external magnetic field is found to block the propagation of the solitons, which can, however, be released upon the termination of the magnetic field and can propagate further into directions that depend on the time of trapping and the magnetic field strength.

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“…[24][25][26][27] Another is the face-to-face collision, where is π. [28][29][30][31][32][33][34] In the present work, we focus on the study of the overtaking collision between the oblique isothermal ion-acoustic solitons (OIIASs) in magnetized ultra-relativistic degenerate dense plasmas using Hirota's bilinear method (HBM). Indeed, HBM is an algebraic and adopted technique for building N-soliton (i.e., multisolitons) solutions to integrable non-linear evolution equations such as a Korteweg-de Vries (KdV) equation.…”

Section: Introductionmentioning

confidence: 99%

Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

El-Shamy

Selim

El-Depsy

et al. 2020

Contributions to Plasma Physics

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Overtaking collisions of oblique isothermal ion-acoustic multisolitons are studied in an ultra-relativistic degenerate dense magnetoplasma, containing non-degenerate inertial warm ions and ultra-relativistic degenerate inertialess electrons and positrons. A non-linear Korteweg-de Vries (KdV) equation describing oblique isothermal ion-acoustic solitons (OIIASs) in such a plasma model is derived. By applying Hirota's bilinear method (HBM), the overtaking collisions of oblique isothermal ion-acoustic multisoliton solutions are investigated. An in-depth discussion shows that the amplitude, the width, and the phase shift of isothermal ion-acoustic multisolitons increase as the obliqueness and the chemical potential of electrons increase. The deviation of the trajectories decreases with increasing concentration of fermions and the ion cyclotron frequency. The present finding of this study is applicable in compact objects, such as white dwarfs and neutron stars, having degenerate ultra-relativistic dense electrons and positrons.

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Dust ion‐acoustic solitons collision in weakly relativistic plasmas with superthermality‐distributed electrons and positrons: Higher‐order phase shifts

Cited by 12 publications

References 42 publications

Ion Acoustic Waves in Weakly Relativistic Plasma—Separation of Relativistic and Electron-Temperature Effects

Ion Acoustic Waves in Weakly Relativistic Plasma—Separation of Relativistic and Electron-Temperature Effects

Molecular dynamics investigation of soliton propagation in a two‐dimensional Yukawa liquid

Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

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