<scp>Ion‐acoustic</scp> solitary waves in e‐p‐i plasmas with (<i>r</i>, <i>q</i>)‐distributed electrons and kappa‐distributed positrons

Kouser, Shahnaz; Qureshi, M. N. S.; Shah, K. H.; Shah, H. A.

doi:10.1002/ctpp.202000058

Cited by 6 publications

(6 citation statements)

References 50 publications

(68 reference statements)

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“…The (r, q) distribution function is the generalization of Maxwellian distribution. For r = 0, q → ∞ , it reduces to Maxwellian distribution [32]. This distribution is used to explain growth and reduction of density of nonlinear wave structures.…”

Section: Introductionmentioning

confidence: 99%

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Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

2021

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Supernonlinear ion-acoustic waves (IAWs) and their multistability are studied under the Zakharov-Kuznetsov (ZK) and modified ZK (mZK) equations in a rotating magnetized electron-ion plasma that consists of generalized (r, q)-distributed electrons. Bifurcation of IAW is presented through phase plane analysis and existence of IAW solutions is also shown through graphs of potential energy function. Supernonlinear wave exists for system corresponding to mZK equation with nonlinear periodic and solitary wave solutions. Effects of strength (q) and flatness (r) of the (r, q)-distribution on IAW solutions are shown along with other parameters, such as speed of the wave (V) and direction cosine (n). Furthermore, introducing an extraneous periodic perturbation, multistability property of the perturbed dynamical system is examined, and it is displayed using phase space and time series plots. Features of coexisting trajectories are examined for different values of spectral indices (r, q). Existence of two different types of chaos are supported through Lyapunov exponent graphs. Here, acceptable parametric values of spectral indices (r, q) are considered from data values of slow solar wind streams. Hence, supernonlinear periodic IAW and multistability property under the modified ZK equation are reported for the first time in rotating electron-ion magnetized plasma with (r, q)-distributed electrons. This study is applicable to understand supernonlinear wave features and multistability property of ion-acoustic wave motions featured in slow solar wind streams.

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Section: Introductionmentioning

confidence: 99%

“…El-Bedwehy et al [39] considered the same distribution to study modulational stability of dust-acoustic waves under the nonlinear Schrödinger equation. Lately, Kouser et al [32] reported a study of IAW in (r, q)-distributed electrons and kappa-distributed positrons. The generalized (r, q) distribution function is represented as [39] ⎜…”

Section: Introductionmentioning

confidence: 99%

Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

2021

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“…Flat-top electron distributions were first reported by Montgomery et al [11] and later by Feldman et al [12] around the bow shock. Flat-top particles distributions, commonly observed in space plasmas downstream of the Earth's bow shock, are the consequence of particle interaction with electrostatic potential generated by the bow shock [11,13,14]. The high-energy tails of the distribution profile are found to obey the inverse power-law in velocity space and such distributions can be well modeled by Kappa distribution.…”

Section: Introductionmentioning

confidence: 93%

“…The generalized (r, q) VDF efficiently models the flat tops as well as the high-energy tails. It intrinsically possesses the properties of Druyvesteyn-Davydov, Maxwellian and Kappa VDFs [14], as well as Cairn's VDF [15], and reduces to the same in the proper limiting cases. Therefore, it is one of the most general and suitable VDF for non-Maxwellian plasmas.…”

Section: Introductionmentioning

confidence: 99%

Effect of generalized (r, q)-distributed electrons on ion polytropic coefficient in bounded plasmas

Shabbir¹,

Khan²,

Kamran³

2022

J. Phys. A: Math. Theor.

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The generalized (r, q) velocity distribution function (VDF) is used to describe the quasineutral region of the basic bounded plasma as presented by Tonks and Langmuir. In this regard, the electrons are assumed to follow the (r, q) VDF, and the ions are assumed to be produced as a result of electron-impact ionization of cold neutrals. The plasma approximation is used to calculate the corresponding ion VDF, as well as the ion density, temperature and polytropic coefficient, as affected by the nonthermal indices r and q. The obtained results correspond to the Maxwellian counterparts in proper limits. The present work will be useful in fusion devices where non-Maxwellian electrons may exist due to various physical phenomena.

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“…It, therefore, inherent the properties of Maxwellian VDF, as well as one index nonthermal counterparts, e.g. Cairn's, Kappa and DruyvesteynDavydov VDFs [39,40]. Hence, it offers a VDF that can model a huge variety of non-Maxwellian plasmas and is a topic of many recent research activities [28,41,42], mathematically it can be written in the form…”

Section: Introductionmentioning

confidence: 99%

Dust-ion-acoustic shock waves in the presence of (r, q) distributed electrons

Khan,

Huzaif,

Kamran

2023

Phys. Scr.

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A three-component dusty plasma system, with non-Maxwellian electrons, is investigated. The ions are considered to be mobile, the (spherical) dust is assumed to be stationary with charge- fluctuations, and the electrons follow the generalized (r , q) velocity distribution function (VDF). The respective Burger's equation, which manifests a shock structure, is derived by employing a reductive perturbation technique (RPT). It is deduced that dust charge fluctuations induce shock potential in a collisionless plasma system. The resultant perturbed potential is evaluated as affected by different plasma parameters, e.g., the ratios of electron to ion temperature (σ_i) and equilibrium densities (μ), and the non-thermal indices r and q. The shock amplitude is seen to decrease when the value of σ_i is increased, and vice versa, whereas an opposite trend is observed for μ. It is found that for r = 0 and increasing values of spectral index q, amplitude of the potential distribution enhances while its width decreases. It is further noted that non-Maxwellian VDF significantly modifies the potential distribution. For the limiting case, namely, r = 0 and q→∞, the corresponding Maxwellian results are retrieved which benchmarks our findings. Present work will be useful in understanding the nonlinear propagation of dust-ion-acoustic shock waves in system where non-thermal population - as caused by various physical processes - of electrons are observed.

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Ion‐acoustic solitary waves in e‐p‐i plasmas with (r, q)‐distributed electrons and kappa‐distributed positrons

Cited by 6 publications

References 50 publications

Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

Effect of generalized (r, q)-distributed electrons on ion polytropic coefficient in bounded plasmas

Dust-ion-acoustic shock waves in the presence of (r, q) distributed electrons

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