Nonlinear low frequency electrostatic structures in a magnetized two-component auroral plasma

Rufai, O. R.; Bharuthram, R.; Singh, S. V.; Lakhina, G. S.

doi:10.1063/1.4944669

Cited by 23 publications

(19 citation statements)

References 26 publications

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“…Rufai et al [8] have investigated the finite amplitude IA solitary waves in a collisionless magnetized plasma by considering only one species of Cairns [6] distributed nonthermal electrons whereas in the present paper, we have considered two species of electrons, viz., Maxwell-Boltzmann distributed cold isothermal electrons and Cairns [6] distributed nonthermal hot electrons. In fact, Dalui et al [14] have extensively discussed the existence of these two different species electrons at different temperatures.…”

Section: Discussionmentioning

confidence: 99%

“…Rufai et al [7] investigated the arbitrary amplitude IA solitary waves in a magnetized plasma consisting of cold ions, Maxwell-Boltzmann distributed cold electrons and Cairns [6] distributed nonthermal hot electrons. Rufai et al [8] investigated the finite amplitude IA solitary waves in a collisionless magnetized plasma consisting of adiabatic warm ions and Cairns [6] distributed nonthermal hot electrons. In the present paper, we have extended this paper of Rufai et al [8] in the following directions: * Electronic address: dalui.sandip77@gmail.com † Electronic address: abandyopadhyay1965@gmail.com • (i) instead of considering only one electron species, two different species of electrons at different temperatures have been considered,…”

Section: Introductionmentioning

confidence: 99%

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Modulational instability of ion acoustic waves in a multi-species collisionless magnetized plasma consisting of nonthermal and isothermal electrons

2017

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We have used the Sagdeev pseudo-potential technique to investigate the arbitrary amplitude ion acoustic solitons, double layers and supersolitons in a collisionless magnetized plasma consisting of adiabatic warm ions, isothermal cold electrons and nonthermal hot electrons immersed in an external uniform static magnetic field. We have used the phase portraits of the dynamical system describing the nonlinear behaviour of ion acoustic waves to confirm the existence of different solitary structures. We have also investigated the transition of different solitary structures: soliton (before the formation of double layer) → double layer → supersoliton → soliton (soliton after the formation of double layer) by considering the variation of θ only, where θ is the angle between the direction of the external uniform static magnetic field and the direction of propagation of the wave.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modulational instability of ion acoustic waves in a multi-species collisionless magnetized plasma consisting of nonthermal and isothermal electrons

2017

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“…A series of publications, Rufai et al (2014Rufai et al ( , 2016a and Rufai (2015), investigate the details of oblique (with respect to the magnetic field) propagation of ion-acoustic supersolitons in a magnetised auroral plasma. Ion-beam plasmas with stationary dust grains are also found to support ion-acoustic supersolitons (Dutta and Sahu 2017).…”

Section: Further Development Of the Concept Of Supersolitons In Plasmamentioning

confidence: 99%

“…So far, the concept of supersolitons became commonly accepted among researchers and is extensively developed in a number of recent works (see, e.g. Hellberg et al 2013;Maharaj et al 2013;Verhees et al 2013aVerhees et al , b, c, 2014Dutta et al 2014;Ghosh and Sekar Iyengar 2014;Rufai et al 2014Rufai et al , 2016aVerheest 2014;Olivier et al 2015;Rufai 2015;Verheest and Hellberg 2015;Paul and Bandyopadhyay 2016 and Sect. 3.3 for details).…”

Section: Introductionmentioning

confidence: 99%

Above the weak nonlinearity: super-nonlinear waves in astrophysical and laboratory plasmas

Дубинов

Kolotkov

2018

Rev. Mod. Plasma Phys.

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The review summarises recent theoretical achievements and observational manifestations of a new, recently discovered type of nonlinear oscillations in multi-component plasmas, namely super-nonlinear periodic waves and super-nonlinear solitary waves (supersolitons). Both are characterised by a non-trivial topology of their phase portraits, highly anharmonic profile shapes, extremely long periods, and large amplitudes. Based upon multi-fluid magnetohydrodynamic plasma models, examples of ion-acoustic and Alfvén super-nonlinear waves are considered. A multi-component nature of the plasma was revealed to be a crucial condition for the existence of these super-nonlinear waves, with the complexity of the system growing with the number of plasma species accounted for in the model. A minimum number of plasma components which allow for the existence of supernonlinear waves are also discussed. From the observational point of view, typical signatures of periodic super-nonlinear waves are manifested, for example, in the oscillatory processes operating in the magnetised plasma of the solar corona and ground-based plasma machines. Super-nonlinear solitary structures (supersolitons) of an electrostatic origin are recognised in the Earth's magnetosphere, laboratory experiments with chemically active plasmas, and numerical simulations.

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“…Oblique propagation of electrostatic waves and solitary structures in magnetized plasmas has, over the years, been investigated by several authors. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] The discussion has been carried out from different viewpoints: linear waves or weakly nonlinear solitons described by the reductive perturbation theory, or, less commonly, larger amplitude solitary structures treated through a Sagdeev pseudopotential approach. 15 It is the latter method that interests us here even though some authors also mention linear dispersion properties and/or cite weakly nonlinear results (but derived as a limiting case from the fully nonlinear approach).…”

Section: Introductionmentioning

confidence: 99%

Oblique propagation of solitary electrostatic waves in magnetized plasmas with cold ions and nonthermal electrons

Verheest

Hellberg

2017

Physics of Plasmas

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Oblique propagation of large amplitude electrostatic waves and solitary structures is investigated in magnetized plasmas, comprising cold fluid ions and Cairns nonthermally distributed electrons, by using a Sagdeev pseudopotential formalism. To perform the analysis, quasineutrality is assumed, so that in normalized variables the electrostatic potential and the occurrence of solitary structures are governed by three parameters: the Mach number M, the typical Cairns parameter b, and the angle # between the directions of propagation and the static magnetic field. Below a critical b, only positive compressive solitons are possible, and their amplitudes increase with increasing b, M, and #. Above the critical b, there is coexistence between negative rarefactive and positive compressive solitons, and the range of negative solitons, at increasing M, ends upon encountering a double layer or a singularity. The double layer amplitudes (in absolute value) increase with b but are independent of #. Roots of the Sagdeev pseudopotential beyond the double layer are not accessible from the undisturbed conditions, because of an intervening singularity where the pseudopotential becomes infinite. Recent claims of finding supersolitons beyond a double layer appear to be based on a misinterpretation of the nature of the singularity.

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Nonlinear low frequency electrostatic structures in a magnetized two-component auroral plasma

Cited by 23 publications

References 26 publications

Modulational instability of ion acoustic waves in a multi-species collisionless magnetized plasma consisting of nonthermal and isothermal electrons

Modulational instability of ion acoustic waves in a multi-species collisionless magnetized plasma consisting of nonthermal and isothermal electrons

Above the weak nonlinearity: super-nonlinear waves in astrophysical and laboratory plasmas

Oblique propagation of solitary electrostatic waves in magnetized plasmas with cold ions and nonthermal electrons

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