Effect of dust polarity on transcritical bifurcation of dust ion-acoustic waves in a nonextensive dusty plasma

Alinejad, H.

doi:10.1016/j.chaos.2022.111907

Cited by 5 publications

(5 citation statements)

References 55 publications

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“…It can also illustrate clearly the evolution of the nonlinear system for a small change in the value of the control parameter. The study of nonlinear excitations of electrostatic disturbances in the frame work of bifurcation technique and phase portrait analysis has recently received considerable attention [50][51][52][53][54][55][56][57][58][59][60]. Misra et al [50] investigated the saddle-node bifurcation and modulational instability associated with the pulse propagation of nonlinear waves in dissipative dusty plasma.…”

Section: + -mentioning

confidence: 99%

“…They investigated different kinds of cyclic firing diagram from saddle-node bifurcations. Recently, we have studied the properties of nonlinear electrostatic disturbances in dusty plasmas [59] and multi-ion plasmas [60,61], through the phase portrait analysis and bifurcation analysis. We showed that the concentration of plasma particles and ions temperature play a crucial role in the propagation of different kinds of nonlinear waves and transition between different modes.…”

Section: + -mentioning

confidence: 99%

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Normal form for bifurcations of ion acoustic traveling waves in positive-negative ion species plasmas

Alinejad,

Poria

2023

Phys. Scr.

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The normal form for saddle-node and transcritical bifurcation of nonlinear ion-acoustic waves is derived in complex negative-positive plasmas. The physical parameters of four different kinds of multi-ion plasmas which mainly comprise of positive ions (i.e., Xe+ and Ar+) with a minority constituent of negative ions (i.e., SF-6 and F-), inspired from the experimental studies, are examined on the types of bifurcations and nonlinear wave proﬁles. We ﬁnd that such multi-ion plasmas admit transcritical bifurcation preceding the onset of saddle-node bifurcation. The fractional concentration of negative ions controls the dynamics of ion acoustic traveling waves and causes the appearance of solitary structures and supernonlinear periodic waves. When two nonlinear waves disappear via a saddle-node bifurcation on increasing the negative ion concentration, a nonlinear periodic wave is formed. Further, we reveal critical values of ion density marking the transition between nonlinear modes. Such critical points that can be detected analytically give rise to the propagation of new solitary structures. The results obtained here not only limited to laboratory plasmas, but can also be applied to explain wave excitations in space plasma environments.

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Section: + -mentioning

confidence: 99%

Section: + -mentioning

confidence: 99%

Normal form for bifurcations of ion acoustic traveling waves in positive-negative ion species plasmas

Alinejad,

Poria

2023

Phys. Scr.

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“…At the critical point of negative‐to‐positive ion mass in Figure 2b, a transition between these nonlinear waves occurs. [ 54,55 ] Note that for all types of experimental plasmas, a minimum value of ion mass is necessary for the appearance of transitional effects between nonlinear modes. On the contrary, Figure 2 exhibits the possibility of saddle‐node bifurcation by which fixed points move towards each other, collide and mutually annihilate.…”

Section: Phase‐plane Description Of Nonlinear Wavesmentioning

confidence: 99%

“…[41][42][43][44] The most of these studies on the nonlinear waves and existence domains of disturbances have been based on the frame work of phase portraits analysis and bifurcation techniques. [34,[45][46][47][48][49][50][51][52][53][54][55] Misra et al [45] investigated the occurrence of saddle-node bifurcation and modulational instability associated with the envelope solitons in viscous dusty plasma. Rufai et al [46] studied finite amplitude nonlinear ion-acoustic structures in a magnetized two component auroral plasma.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, we have stressed the importance of using numerical and analytical methods of bifurcation theory on the propagation of dust ion‐acoustic waves in dusty plasmas. [ 54–57 ] We have shown that dust polarity and distribution of electrons cause to exist different stable regimes, including the emergence of nonlinear waves due to bifurcations. The aim of present work is to investigate stability and bifurcations of ion‐acoustic waves in warm positive–negative ion plasmas.…”

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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Unraveling the dynamics of Lorentzian excitations in an ultra-relativistic degenerate plasma

Barmoodeh,

Alinejad,

Mahdavi

2024

Opt Quant Electron

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Effect of dust polarity on transcritical bifurcation of dust ion-acoustic waves in a nonextensive dusty plasma

Cited by 5 publications

References 55 publications

Normal form for bifurcations of ion acoustic traveling waves in positive-negative ion species plasmas

Normal form for bifurcations of ion acoustic traveling waves in positive-negative ion species plasmas

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

Unraveling the dynamics of Lorentzian excitations in an ultra-relativistic degenerate plasma

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