Comment on “Head-on collision of electron acoustic solitary waves in a plasma with nonextensive hot electrons”

Verheest, Frank

doi:10.1007/s10509-012-1054-1

Cited by 6 publications

(13 citation statements)

References 3 publications

(9 reference statements)

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“…Since in the generic case all first-order quantities vanish, it has been implicitly assumed in the papers quoted [3,5,6,8,[10][11][12][13]15] that this is the only case worth considering. Eslami et al [9,14] start the expansions at order ε, but then proceed as though this were the generic case, and get thoroughly confused, so that their results are wrong [20].…”

Section: Basic Formalism and Generic Compositionmentioning

confidence: 99%

“…Ignoring this root and taking β = β c , the quadratic nonlinearity in the KdV equations (24) disappears and in (18) we must keep the contributions in ϕ 1 . Moreover, (20) simplifies to…”

Section: Critical Compositionsmentioning

confidence: 99%

“…The only exceptions are where the expansions in the dependent variables are also assumed to start at order ε [9,14]. Unfortunately, however, these exceptions contain serious errors which invalidate the resulting algebra [20].…”

Section: Introductionmentioning

confidence: 99%

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Head-on collisions of electrostatic solitons in nonthermal plasmas

2012

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In contrast to overtaking interactions, head-on collisions between two electrostatic solitons can only be dealt with by an approximate method, which limits the range of validity but offers valuable insights. Treatments in the plasma physics literature all use assumptions in the stretching of space and time and in the expansion of the dependent variables that are seldom if ever discussed. All models force a separability to lowest order, corresponding to two linear waves with opposite but equally large velocities. A systematic exposition of the underlying hypotheses is illustrated by considering a plasma composed of cold ions and nonthermal electrons. This is general enough to yield critical compositions that lead to modified rather than standard Korteweg-de Vries equations, an aspect not discussed so far. The nonlinear evolution equations for both solitons and their phase shifts due to the collision are established. A Korteweg-de Vries description is the generic conclusion, except when the plasma composition is critical, rendering the nonlinearity in the evolution equations cubic, with concomitant repercussions on the phase shifts. In the latter case, the solitons can have either polarity, so that combinations of negative and positive solitons can occur, contrary to the generic case, where both solitons necessarily have the same polarity.

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Section: Basic Formalism and Generic Compositionmentioning

confidence: 99%

“…Ignoring this root and taking β = β c , the quadratic nonlinearity in the KdV equations (24) disappears and in (18) we must keep the contributions in ϕ 1 . Moreover, (20) simplifies to…”

Section: Critical Compositionsmentioning

confidence: 99%

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Head-on collisions of electrostatic solitons in nonthermal plasmas

2012

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“…Ideally, we expect that the collision will be quasielastic, so the collision will only result in a change of trajectory or phase shift for each colliding wave. In order to obtain the basic results to analyze the collision process, we employ an extended Poincaré-LighthillKuo (PLK) perturbation method (Chatterjee et al 2010;Verheest 2012;Carbonaro 2012;El-Tantawy and Djebarni 2014;Han et al 2014b). According to this method, first we introduce the stretched coordinates…”

Section: Derivation Of the Mkdv Equation And Phase Change Equationmentioning

confidence: 99%

“…More recently, Wang et al (2013) investigated the existence of rouge waves and solitary waves in such plasma. Furthermore, the properties of wave-wave interaction are also studied by Eslami et al (2012) and Verheest (2012). Thus, the basic features of nonlinear waves in such plasmas are quite well understood.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear nature of composite structure induced by the interaction of nonplanar solitons in a nonextensive plasma

Han

Luo

Liu

et al. 2015

Astrophys Space Sci

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The nonlinear properties of composite structure induced by the head-on collision of electron-acoustic solitons in a general plasma composed of cold fluid electrons, hot nonextensive distributed electron, and stationary ions are studied. We have made a detailed investigation on the timeevolution process of this merged wave structure. It is found that the structure survives during some time interval, and there are obviously different for the properties of the composite structures which are induced in cylindrical and spherical geometries. Moreover, it is shown that there are both positive and negative phase shifts for each colliding soliton after the interaction. For fixed plasma parameters, the soliton received the largest phase shift in spherical geometry, followed by the cylindrical and one-dimensional planar geometries.

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Interaction phenomena and effect of higher order dispersion on electron acoustic solitary waves in weakly relativistic regimes

Alam

Talukder

2019

Contributions to Plasma Physics

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The interaction phenomena of electron acoustic solitary waves (EASWs) and the higher order correction of Korteweg-de Vries (KdV) equations (KdVEs) have investigated in unmagnetized collisionless plasma system consisting of relativistic cold electrons and electron beams, non-relativistic Maxwellian hot electrons and stationary ions. To understand the physical issues concerned, the two-sided KdVEs using extended Poincaré-Lighthill-Kue (ePLK) method are derived taking the higher order correction into consideration. The analyses reveal that the widths and amplitudes of EASWs (as obtain from KdVEs) are decreasing with plasma parameters. The plasma parameters are responsible for the modification of KdV-soliton structure. It is found that the narrowness of width and the steepness of dip of the solitons become more pronounced and the electric field behaves like semi-kink solitons due to the higher order correction of KdVEs. Dip shape rarefactive soliton becomes pronounced by plasma parameters. The phase shifts of EASWs are also enhanced due to the effects of plasma species temperatures and density ratios. K E Y W O R D SEASWs, ePLK method, higher order correction, relativistic cold electrons, weakly relativistic regime

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Comment on “Head-on collision of electron acoustic solitary waves in a plasma with nonextensive hot electrons”

Cited by 6 publications

References 3 publications

Head-on collisions of electrostatic solitons in nonthermal plasmas

Head-on collisions of electrostatic solitons in nonthermal plasmas

Nonlinear nature of composite structure induced by the interaction of nonplanar solitons in a nonextensive plasma

Interaction phenomena and effect of higher order dispersion on electron acoustic solitary waves in weakly relativistic regimes

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