K-dV and mK-dV equations for solitary waves in negative ion plasmas with non-Maxwellian electrons

Mehdipoor, M.

doi:10.1007/s10509-013-1550-y

Cited by 19 publications

(6 citation statements)

References 33 publications

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“…If we apply the reductive perturbation theory, we can show that the amplitude of the perturbed ion density in a weakly relativistic warm plasma and nonextensively distributed electrons in the small wavenumber limit is governed by the K-dV equation. This equation can be derived by introducing the stretched variables τ and ξ as [30,31]…”

Section: Derivation K-dv Equation For the Systemmentioning

confidence: 99%

Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Nonextensively Distributed Electrons

El‐Labany

El-Taibany

El-Bedwehy

et al. 2020

Alfarama Journal of Basic & Applied Sciences

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A reductive perturbation technique (multiple scales) is applied to a weakly relativistic warm unmagnetized adiabatic plasma system consisting of inertial ions fluid and nonextensively distributed electrons. A nonlinear Schrödinger-type (NST) equation for finite wavenumber at the second order is derived. Using the reductive perturbation technique we derived the corresponding Korteweg-de Vries (K-dV) equation. For small wavenumber limit the K-dV equation is transformed into NST equation. It is found that the coefficient of the NST equation obtained from the K-dV equation agree with the corresponding coefficients of NST equation obtained by the multiple scales. Moreover we investigated the effect of the physical parameters of the system namely temperature ratio of the ion temperature T i to electron temperature T e , the relativistic factor u 0 /C as well as the nonextensive parameter (q) of the distribution on the stability/instability of the system. It is found that these parameters affect strongly on the stability/instability regions. Finally, the validity of our results in astrophysical plasma is briefly discussed.

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Section: Derivation K-dv Equation For the Systemmentioning

confidence: 99%

Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Nonextensively Distributed Electrons

El‐Labany

El-Taibany

El-Bedwehy

et al. 2020

Alfarama Journal of Basic & Applied Sciences

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“…while for isothermal electrons ), respectively. The dynamics of DASWs are governed by the following equations [7].…”

Section: Basic Equations and Interaction Between Two Daswsmentioning

confidence: 99%

“…These waves observed in a laboratory experiment [2]. From then on, a great number of experimental investigations [3][4][5] and a large number of theoretical studies [6][7][8][9][10][11][12][13] have been made to examine the features of DASWs in dusty plasmas which has taken the key position in space and laboratory plasma. Dust acoustic solitary waves in a magnetized dusty plasma consisting of a negatively charged dust fluid and Boltzmann distribution for electrons and ions has studied [14].…”

Section: Introductionmentioning

confidence: 99%

“…To our knowledge; a few number of scholar use an isothermal and adiabatic descriptions of formation and dynamics on nonlinear waves occur in dusty plasma. The isothermal assumption for the thermal process means absorption of energy upon compression and releasing it upon rarefaction [7]. The adiabatic approach enables one to include the variation of temperature for various phases of the wave and the effect of this variation on the formation and properties of the wave proper [28].…”

Section: Introductionmentioning

confidence: 99%

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Collisional Phase Shifts Between Two Dust Acoustic Solitary Waves With External Oblique Magnetic Field and Two Temperature Ions

2019

Egyptian Journal of Applied Science

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Using the extended Poincaré-Lighthill-Kuo (PLK) method, a theoretical investigation for nonlinear electrostatic dust acoustic solitary waves (DASWs) with external oblique magnetic field and two temperature ions is studied. The interesting feature of the nonlinear evolution equations for the DASWs is two Korteweg-de Vries (KdV) equations for small but finite amplitude solitary waves. The phase shifts and trajectories of DASWs after collision are deduced. Results in summary insure the effects of some physical parameters such as the obliqueness angle of the external magnetic field, the effective temperature of ions to the electron temperature ratio, and the twodifferent types of ions on the phase shifts for both the physical process (isothermal and adiabatic). Colors online provided strong effects for these factors on the wave future.

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“…The propagation of nonlinear solitary waves in a negative ion plasma has been studied extensively, both from the theoretical [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and experimental [18][19][20][21][22] points of view. Negative ion plasmas are plasmas comprising electrons, negative ions, and positive ions.…”

Section: Introductionmentioning

confidence: 99%

Ion acoustic solitons at the acoustic speed in a warm negative ion plasma with superthermal electrons

Mushinzimana

2023

AIP Advances

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Using the Sagdeev pseudopotential method, the existence of Korteweg–de Vries (KdV) and non-KdV solitons is investigated in a negative ion plasma comprising adiabatic positive and negative ions and kappa distributed electrons. For some plasma parameter values, the plasma model supports the coexistence of solitons of both polarities. Positive KdV solitons coexist with negative non-KdV solitons at low values of negative to positive ion density ratio, and positive non-KdV solitons coexist with negative KdV solitons at higher values. There is therefore a switch in polarity between positive KdV and negative KdV solitons at a critical value of negative to positive ion density ratio and a switch in polarity between negative non-KdV and positive non-KdV solitons at the same point. At the critical point, there is no soliton at the acoustic speed, although there is coexistence at larger Mach numbers. This confirms that the existence of a soliton at acoustic speed is not a necessary condition for the coexistence of solitons of both polarities. When electrons are strongly non-thermal and the ion temperatures are important, the coexistence region vanishes and the non-KdV solitons disappear with it. It was also found that there is a forbidden region in terms of negative (positive) ion temperatures when the negative (positive) ion temperature increases with the other plasma parameters held fixed.

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K-dV and mK-dV equations for solitary waves in negative ion plasmas with non-Maxwellian electrons

Cited by 19 publications

References 33 publications

Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Nonextensively Distributed Electrons

Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Nonextensively Distributed Electrons

Collisional Phase Shifts Between Two Dust Acoustic Solitary Waves With External Oblique Magnetic Field and Two Temperature Ions

Ion acoustic solitons at the acoustic speed in a warm negative ion plasma with superthermal electrons

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