Large amplitude ion-acoustic solitary waves in a warm negative ion plasma with superthermal electrons: The fast mode revisited

Mushinzimana, X.; Nsengiyumva, F.

doi:10.1063/1.5127199

Cited by 8 publications

(11 citation statements)

References 64 publications

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“…This finding is a similar result as obtained earlier in the warm negative ion plasmas with superthermal electrons. [31,32] Phase trajectories above a single separatrix (homoclinic orbit) in Figure 3 also indicate large amplitude supernonlinear periodic orbit which correspond to the excitation of supernonlinear periodic waves, as shown in Figure 6. The amplitude of such highly nonlinear pattern can decrease gradually until to nearest homoclinic orbit in dissipative plasmas.…”

Section: Phase-plane Description Of Nonlinear Wavesmentioning

confidence: 86%

“…This finding is a similar result as obtained earlier in the warm negative ion plasmas with superthermal electrons. [ 31,32 ]…”

Section: Phase‐plane Description Of Nonlinear Wavesmentioning

confidence: 99%

“…Most of the studies on the nonlinear waves in plasma, as a spatially extended excitable media, were based on the weakly nonlinear analysis which truncates the higher order nonlinearity. [22][23][24][25][26][27][28][29][30][31][32][33] The evolution of particle dynamics in such a condition is governed by a class of integrable nonlinear differential equation for an appropriate scaling which gives the localized wave solutions. Parallel to the perturbation method, the evolution of large amplitude waves was also investigated by the pseudo-potential approach.…”

Section: Introductionmentioning

confidence: 99%

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Stability and bifurcation analysis of low‐frequency electrostatic waves in warm negative ion plasmas

Alinejad

2022

Contributions to Plasma Physics

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In this paper, we perform stability and bifurcation analysis of ion-acoustic waves in a plasma consisting of warm adiabatic positive and negative ions, evolving against a uniform background of isothermal electrons. The model consists of two nonlinear ordinary differential equations incorporating ion temperature, negative ion concentration and negative-to-positive ion mass. We derive the normal form of bifurcation which allows the determination of travelling wave solutions for various regions in the parameter space of warm negative ion plasmas. It is shown that negative/positive ion temperature broadens the region prior to the saddle-node bifurcation, thereby allowing the propagation of solitary and supernonlinear periodic waves. For a range of ion mass ratio and ion temperature, we find different existence domains of stability region, and examine the occurrence of transcritical bifurcation as a function of various plasma parameters.Further, we perform a numerical phase portrait analysis of the complex system including homoclinic orbits, nonlinear periodic and super nonlinear periodic orbits. The effects of ion mass ratio and ion temperature on the characteristic of these nonlinear structures are discussed in detail. Our results are relevant to wave solutions in laboratory and space plasmas, where simultaneous presence of warm negative/positive ions are observed.

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Section: Phase-plane Description Of Nonlinear Wavesmentioning

confidence: 86%

“…This finding is a similar result as obtained earlier in the warm negative ion plasmas with superthermal electrons. [ 31,32 ]…”

Section: Phase‐plane Description Of Nonlinear Wavesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stability and bifurcation analysis of low‐frequency electrostatic waves in warm negative ion plasmas

Alinejad

2022

Contributions to Plasma Physics

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“…Recently, the scientific and technological significance of negative ions in plasma has garnered considerable attention from several authors, e.g. [10][11][12][13][14][15][16][17]. It has the potential to enhance several significant processes, including material processing, fusion research, and semiconductor manufacturing.…”

Section: Introductionmentioning

confidence: 99%

Envelope solitary waves in two-negative ions with stationary dust grains

Alharbi,

Alzahrani,

Moslem

et al. 2024

Phys. Scr.

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Using a multi-fluid model, we look at how modulated electrostatic dust-ion-acoustic wavepackets move nonlinearly through a plasma made up of a three-ion fluid with Maxwellianelectrons and stationary dust grains. A nonlinear Schr¨odinger (NLS) equation describesthe electric potential envelope wave packet. The analysis reveals the existence of differenttypes of localized modes, namely bright, dark, and grey solitons. We numerically analysethe coefficients of the NLS equation to identify stable or unstable regions for wave packetpropagation. It is found that higher relative density ratios increase the group velocity of thewave packets. Stable pulses can become unstable when plasma parameters exceed certainrelative density ratio values. Stable pulses can exist within a crucial window of the relativedust density ratio. Controlling the dust grain density ratio outside the zone can cause unstablewave packets or bright envelope solitons to propagate.

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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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Large amplitude ion-acoustic solitary waves in a warm negative ion plasma with superthermal electrons: The fast mode revisited

Cited by 8 publications

References 64 publications

Stability and bifurcation analysis of low‐frequency electrostatic waves in warm negative ion plasmas

Stability and bifurcation analysis of low‐frequency electrostatic waves in warm negative ion plasmas

Envelope solitary waves in two-negative ions with stationary dust grains

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

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