Effect of polarization force on dust-acoustic cnoidal waves in dusty plasma

Singh, Kuldeep; Ghai, Yashika; Kaur, Nimardeep; Saini, N. S.

doi:10.1140/epjd/e2018-90228-2

Cited by 47 publications

(16 citation statements)

References 37 publications

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“…In this investigation, the head-on collision of DA shock waves in a magnetized dusty plasma consisting of nonextensive ions and Maxwellian electrons using the extended PLK perturbation method is presented. e numerical values of the typical physical parameters of planetary rings [20,24], n i 0 � 5 × 10 7 cm − 3 , n e 0 � 4 × 10 7 cm − 3 , Z d � 3 × 10 3 , n d � 10 7 cm − 3 , T e � 50 eV, T i � 0.05 eV, and R � 0 − 0.14, are used for analysis. e shock waves are formed as a result of balance of nonlinearity, dispersion, and dissipation.…”

Section: Numerical Analysis and Discussionmentioning

confidence: 99%

“…us, the polarization force has a significant influence on the propagation characteristics of low-frequency linear DA waves. Various researchers have reported the effect of polarization force on different nonlinear structures (solitons and shocks) in the framework of Maxwellian and non-Maxwellian distribution in various plasma environments [17][18][19][20][21][22][23][24][25]. Sethi et al [23] studied DA solitary and shock waves under the influence of superthermally modified polarization force in an unmagnetized dusty plasma comprising of negatively charged dust grains, superthermally distributed ions, and Maxwellian electrons.…”

Section: Introductionmentioning

confidence: 99%

“…e superthermally modified polarization force was found to be greater for more superthermal particles. Singh et al [24] illustrated that the superthermality of ions has a significant influence on polarization force which further altered the dynamics of DA cnoidal waves in dusty plasma. In the recent past, Singh and Saini [25] examined the impact of superthermal polarization force on the modulational instability of DA waves and transition of rogue wave triplets to super rogue waves in space dusty plasmas.…”

Section: Introductionmentioning

confidence: 99%

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Interaction of Dust-Acoustic Shock Waves in a Magnetized Dusty Plasma under the Influence of Polarization Force

2021

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The interaction of dust-acoustic (DA) shock waves in a magnetized dusty plasma under the influence of nonextensively modified polarization force is investigated. The plasma model consists of negatively charged dust, Maxwellian electrons, nonextensive ions, and polarization force. In this investigation, we have derived the expression of polarization force in the presence of nonextensive ions and illustrated the head-on collision between two DA shock waves. The extended Poincaré–Lighthill–Kuo (PLK) method is employed to obtain the two-sided Korteweg–de Vries–Burgers (KdVB) equations and phase shifts of two shock waves. The trajectories and phase shifts of negative potential dust-acoustic shock waves after collision are examined. The combined effects of various physical parameters such as polarization force, nonextensivity of ions, viscosity of dust, and magnetic field strength on the phase shifts of DA shock waves have been studied. The present investigation might be useful to study the process of collision of nonlinear structures in space dusty plasma such as planetary rings where non-Maxwellian particles such as nonextensive ions, negatively charged dust, and electrons are present.

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Section: Numerical Analysis and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Interaction of Dust-Acoustic Shock Waves in a Magnetized Dusty Plasma under the Influence of Polarization Force

2021

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“…It has been shown that the linear dispersion and nonlinear peculiarities of the DAW have been modified by polarization force. [ 47 ] Later, many investigators have analysed different electrostatic solitary waves in three component dusty plasma with thermal [ 48–53 ] and nonthermal distribution of ions, [ 54–58 ] while electrons are considered Maxwellian. Recently, Khaled et al [ 59 ] have developed an expression for polarization force in a dusty plasma with oppositely charged dust grains and carried out the nonlinear analysis of DAW in the presence of polarization force.…”

Section: Introductionmentioning

confidence: 99%

Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

Farooq

Ahmad

Jan

2021

Contributions to Plasma Physics

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The effect of polarization force acting on oppositely charged dust grains in magnetized plasma is analysed for obliquely propagating low frequency electrostatic waves with Maxwellian ions, and non‐Maxwellian electrons following the hybrid Cairns–Tsallis velocity distribution. It is shown that the polarization force acting on positively charged dust grain is different from the one acting on negatively charged dust grain in the presence of hybrid Cairns–Tsallis distributed electrons. A nonlinear equation in the form of Zakharov–Kuznetsov equation is derived via perturbation analysis for the description of electrostatic solitary structures in the limit of weak‐amplitude. A parametric investigation determines the modifications arising in the propagation of dust acoustic soliton due to the presence of polarization force and hybrid Cairns–Tsallis distributed electrons. It is also found that the effect of polarization force is more pronounced for heavier dust grain with high charge number. Finally, there is a lower limit found for the q‐nonextensive parameter, below which modifications in soliton profile cease to exist due to the presence of hybrid Cairns–Tsallis distributed electrons.

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“…Numerous investigations have also been reported to demonstrate the variety of nonlinear structures by varying the polarization force in the framework of Maxwellian and non-Maxwellian distributions in various space plasma environments [21][22][23][24][25][26][27]. Singh et al [26] illustrated that the superthermality of ions and polarization force have intense influence on the characteristics of DA periodic (cnoidal) waves in a superthermal polarized dusty plasma. In the recent past, Singh et al [27] investigated the head-on collision among DA multisolitons in a dusty plasma having ions following the hybrid distribution in the presence of polarization force.…”

Section: Introductionmentioning

confidence: 99%

Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma

Singh

Saini

2020

Front. Phys.

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In this theoretical investigation, we have examined the combined effects of nonthermally revamped polarization force on modulational instability MI of dust acoustic waves DAWs and evolution of different kinds of dust acoustic (DA) breathers in a dusty plasma consisting of negatively charged dust as fluid, Maxwellian electrons, and ions obeying Cairns’ nonthermal distribution. The nonthermality of ions has considerably altered the strength of polarization force. By employing the multiple-scale perturbation technique, the nonlinear Schrödinger equation NLSE is derived to study modulational MI instability of dust acoustic waves DAWs. It is noticed that influence of the polarization force makes the wave number domain narrow where MI sets in. The rational solutions of nonlinear Schrödinger equation illustrate the evolution of DA breathers, namely, Akhmediev breather, Kuznetsov–Ma breather, and Peregrine solitons (rogue waves). Further, the formation of super rogue waves due to nonlinear superposition of DA triplets rogue waves is also discussed. It is analyzed that combined effects of variation in the polarization force and nonthermality of ions have a comprehensive influence on the evolution of different kinds of DA breathers. It is remarked that outcome of present theoretical investigation may provide physical insight into understanding the role of nonlinear phenomena for the generation of various types of DA breathers in experiments and different regions of space (e.g., the planetary spoke and cometary tails).

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Effect of polarization force on dust-acoustic cnoidal waves in dusty plasma

Cited by 47 publications

References 37 publications

Interaction of Dust-Acoustic Shock Waves in a Magnetized Dusty Plasma under the Influence of Polarization Force

Interaction of Dust-Acoustic Shock Waves in a Magnetized Dusty Plasma under the Influence of Polarization Force

Polarization force in an opposite polarity dusty plasma with hybrid Cairns–Tsallis distributed electrons

Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma

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