Electrostatic nonlinear supersolitons in dusty plasmas

Verheest, Frank

doi:10.1017/s0022377814000282

Cited by 11 publications

(6 citation statements)

References 16 publications

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“…Recently, Paul & Bandyopadhyay [17] investigated the arbitrary amplitude DIA solitary structures in an e-p-i-d plasma consisting of nonthermal electrons and isothermal positrons and reported the existence of double layers of both polarities, coexistence of solitary waves of both polarities and most importantly the existence of positive potential supersolitons [18,19,20,21,22,23]. The present paper is an extension of the recently published paper of Paul & Bandyopadhyay [17] in the following directions.…”

Section: Introductionmentioning

confidence: 54%

Dust ion acoustic solitary structures in presence of nonthermally distributed electrons and positrons

2017

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Section: Introductionmentioning

confidence: 54%

Dust ion acoustic solitary structures in presence of nonthermally distributed electrons and positrons

2017

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“…These structures have been reported on both ion-acoustic (Ghosh & Sekar Iyengar 2014; Olivier, Maharaj & Bharuthram 2015; Singh & Lakhina 2015; Dutta & Sahu 2016; Paul & Bandyopadhyay 2016; Varghese & Ghosh 2016) and dust-acoustic (Hellberg et al. 2013; Verheest 2014) time scales. In addition, Verheest, Lakhina & Hellberg (2014) showed that supersolitons cannot form in a plasma consisting of two species only.…”

Section: Introductionmentioning

confidence: 69%

Small-amplitude supersolitons near supercritical plasma compositions

2017

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Supercritical plasma compositions in parameter space are considered for a general fluid model consisting of an arbitrary number of species. This is done by applying a Taylor series expansion of the Sagdeev potential about the acoustic speed and the equilibrium electrostatic potential. A novel finding in this study is the description of small-amplitude supersolitons. Our analysis allows us to determine the plasma compositional criteria for such structures, as well as lower and upper bounds of their velocities and amplitudes. We therefore establish an interesting link between supercritical plasma compositions and the existence of supersolitons. The results are illustrated via a case study where plasmas consisting of cold ions and two Boltzmann electron species are considered

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“…Dubinov and Kolotkov (2012a,b) have recently introduced a new type of solitary structure which they termed as 'supersoliton'. After this work several authors (Dubinov and Kolotkov 2012c;Das et al 2012a;Verheest et al 2013a,b,c;Hellberg et al 2013;Maharaj et al 2013;Verheest 2014;Verheest et al 2014;Lakhina et al 2014;Singh and Lakhina 2015;Verheest and Hellberg 2015;Paul and Bandyopadhyay 2016) reported the existence of supersolitons in different plasma systems. Although, a number of investigations (Eslami et al 2011;Jain and Mishra 2013a,b; Ghosh and Banerjee 2014) on IA solitary structures in different e-p-i plasma has been carried out but the existence of IA supersolitons in those plasma systems has not been reported.…”

Section: Introductionmentioning

confidence: 94%

Ion acoustic solitons, double layers and supersolitons in a collisionless unmagnetized plasma consisting of nonthermal electrons and isothermal positrons

Paul

Bandyopadhyay

2018

Indian J Phys

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Employing the Sagdeev pseudo-potential technique the ion acoustic solitary structures have been investigated in an unmagnetized collisionless plasma consisting of adiabatic warm ions, nonthermal electrons and isothermal positrons. The qualitatively different compositional parameter spaces clearly indicate the existence domains of solitons and double layers with respect to any parameter of the present plasma system. The present system supports the negative potential double layer which always restricts the occurrence of negative potential solitons. The system also supports positive potential double layers when the ratio of the average thermal velocity of positrons to that of electrons is less than a critical value. However, there exists a parameter regime for which the positive potential double layer is unable to restrict the occurrence of positive potential solitary waves and in this region of the parameter space, there exist positive potential solitary waves after the formation of a positive potential double layer. Consequently, positive potential supersolitons have been observed. The nonthermality of electrons plays an important role in the formation of positive potential double layers as well as positive potential supersolitons. The formation of positive potential supersoliton is analysed with the help of phase portraits of the dynamical system corresponding to the ion acoustic solitary structures of the present plasma system.

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Electrostatic nonlinear supersolitons in dusty plasmas

Cited by 11 publications

References 16 publications

Dust ion acoustic solitary structures in presence of nonthermally distributed electrons and positrons

Dust ion acoustic solitary structures in presence of nonthermally distributed electrons and positrons

Small-amplitude supersolitons near supercritical plasma compositions

Ion acoustic solitons, double layers and supersolitons in a collisionless unmagnetized plasma consisting of nonthermal electrons and isothermal positrons

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