Ion acoustic solitons of KdV and modified KdV equations in weakly relativistic plasma containing nonthermal electron, positron and warm ion

Pakzad, Hamid Reza

doi:10.1007/s10509-010-0533-5

Cited by 38 publications

(7 citation statements)

References 40 publications

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“…Plasmas 19, 012113 (2012) the Maxwell' (dotted line) distribution (parametric values of j are taken from the Refs. [41][42][43]. It can also be verified the relation stated above i.e., j ¼ 1=1 À q between kappadistribution and q-distribution from those figures.…”

Section: -2supporting

confidence: 82%

“…Leubner 38 suggested a nonextensive approach to provide some fundamental reasoning for the occurrence of j-distributions, a reduced j-distribution, which can be transformed into q-nonextensive distribution by the expression j ¼ 1=1 À q (Refs. [39][40][41][42][43], is obtained. The standard j distribution is known now close to the qnonextensive distribution, however, there is no simple transformation between the two distributions as their arguments and powers do not fit the same transformation.…”

Section: Introductionmentioning

confidence: 99%

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The effect of q-distributed electrons on the head-on collision of ion acoustic solitary waves

2012

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The head-on collision of ion acoustic solitary waves (IASWs) in two component plasma comprising nonextensive distributed electrons is investigated. Two opposite directional Kortewg-de-vries (KdV) equations are derived and the phase shift due to collision is obtained using the extended version of Poincaré-Lighthill-Kuo method. Different ranges of nonextensive parameter q are considered and their effects on phase shifts are observed. It is found that the presence of nonextensive distributed electrons plays a significant role on the nature of collision of ion acoustic solitary waves.

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Section: -2supporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

The effect of q-distributed electrons on the head-on collision of ion acoustic solitary waves

2012

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“…We apply the reductive perturbation theory (Nejoh [2]), to show that the amplitude of the perturbed ion density in a weakly relativistic warm plasma and superthermally distributed electrons in the smallwavenumber limit is governed by the K-dV equation. To show that we introduce the stretched variables and as (Pakzad and Gill et al [22][23])…”

Section: Derivation K-dv Equation For the Systemmentioning

confidence: 99%

Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons

El‐Labany¹,

El-Taibany²,

El-Bedwehy³

et al. 2020

Alfarama Journal of Basic & Applied Sciences

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In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relativistic, warm, unmagnetized and adiabatic plasma whose constitutes are ion fluid and superthermally distributed electrons using the multiple scales approach. The basic system of equations is reduced to a finite wave number nonlinear Schrödinger-type equation at the second order of the perturbation theory and for small wave number limit the nonlinear Schrödinger-type equation is derived. Moreover the reductive perturbation technique is applied to this system and Korteweg-de Vries equation is obtained. For small wavenumber limit, it is found that the dispersion coefficient and nonlinear coefficient of the nonlinear Schrödingertype equation are reduced to the coefficients of nonlinear Schrödinger-type equation obtained from Korteweg-de Vries (K-dV) equation. The dependence of the phase velocity and the group as well as the domain of the stability and the instability on the temperature ratio, the relativistic factor and the superthermal parameter is investigated.

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“…In 2009, Malik et al studied the different mode in magnetoplasma by using the reductive perturbation method and concluded that phase velocity of the propagation mode depends on plasma density and ion temperature . In 2010, Pakzad studied the relativistic effects on solitons and showed that increase in the relativistic factor will affect the amplitude of compressive and rarefactive solitons differently . In 2012, Roy et al studied the solitary waves and double layers in an ultra‐relativistic degenerate dusty electron‐positron‐ion plasma and showed how the number densities of the particles in that plasma affect the solitary waves and double layer behaviour …”

Section: Introductionmentioning

confidence: 99%

Obliquely propagating quantum solitary waves in quantum‐magnetized plasma with ultra‐relativistic degenerate electrons and positrons

Soltani

Mohsenpour

Sohbatzadeh

2019

Contributions to Plasma Physics

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The oblique propagation of the quantum electrostatic solitary waves in magnetized relativistic quantum plasma is investigated using the quantum hydrodynamic equations. The plasma consists of dynamic relativistic degenerate electrons and positrons and a weakly relativistic ion beam. The Zakharov‐Kuznetsov equation is derived using the standard reductive perturbation technique that admits an obliquely propagating soliton solution. It is found that two types of quantum acoustic modes, that is, a slow acoustic mode and fast acoustic mode, could be propagated in our plasma model. The parameter that determines the nature of soliton, that is, compressive or rarefactive soliton, for slow mode is investigated. Our numerical results show that for the slow mode, the determining parameter is ion beam velocity in the case of relativistic degenerate electrons. We also have examined the effects of plasma parameters (like the beam velocity, the density ratio of positron to electron, the relativistic factor, and the propagation angle) on the characteristics of solitary waves.

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Ion acoustic solitons of KdV and modified KdV equations in weakly relativistic plasma containing nonthermal electron, positron and warm ion

Cited by 38 publications

References 40 publications

The effect of q-distributed electrons on the head-on collision of ion acoustic solitary waves

The effect of q-distributed electrons on the head-on collision of ion acoustic solitary waves

Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons

Obliquely propagating quantum solitary waves in quantum‐magnetized plasma with ultra‐relativistic degenerate electrons and positrons

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