Observation of Modified Korteweg—de Vries Solitons in a Multicomponent Plasma with Negative Ions

Nakamura, Yoshiharu; Tsukabayashi, Isao

doi:10.1103/physrevlett.52.2356

Cited by 227 publications

(120 citation statements)

References 8 publications

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“…The observation of fast ion-acoustic rarefaction solitons are compared with theoretically derived KdV equation for this sort of plasma. Another experimental observation of ion-acoustic solitons in a multicomponent plasma with negative ions has been reported by Nakamura and Tsukabayashi [23]. At some critical concentration of negative ions, they have observed both the compressive and rarefactive solitons.…”

Section: Introductionmentioning

confidence: 71%

Electrostatic Solitary Waves in Pair-ion Plasmas with Trapped Electrons

2014

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Electrostatic solitons in an unmagnetized pair-ion plasma comprising adiabatic fluid positive and negative ions and non-isothermal electrons are investigated using both arbitrary and small amplitude techniques. An energy integral equation involving the Sagdeev potential is derived, and the basic properties of large amplitude solitary structures are investigated. Various features of solitons differ in different existence domains. The effects of ion adiabaticity, particle concentration, and resonant electrons on the profiles of Sagdeev potential and corresponding solitary waves are investigated. The generalized Korteweg-de Vries equation with mixed-nonlinearity is derived by expanding the Sagdeev potential. Asymptotic solutions for different orders of nonlinearity are discussed for solitary waves. The present work is applicable to understanding the wave phenomena and associated nonlinear electrostatic perturbations in pair/bi-ion plasmas which may occur in space and laboratory plasmas.

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Section: Introductionmentioning

confidence: 71%

Electrostatic Solitary Waves in Pair-ion Plasmas with Trapped Electrons

2014

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“…i.e., in absolute value, for negative ϕ, whose (absolute) value will be limited by |ϕ max,− | above, as obvious in (24). In the non-relativistic limit α ≪ 1, we obtain…”

Section: B the Upper Speed Limit (Reality Condition): V < Vmentioning

confidence: 99%

“…Ludwig et al [23] experimentally showed that applying a neative voltage pulse on multi-component plasma with sufficient large negative ion concentration may lead to compression of the negative ion density and formation of a rarefactive solitary wave (a pulse). On the other hand, Nakamura et al [24] demonstrated that, at critical concentration of the negative ions in the plasma, compressive and rarefactive solitons may (co-)exist in the laboratory and they compared the observed soliton with the soliton solution of the modified Korteweg-de Vries (mKdV) equation. Independently, based on a stability analysis of the nonlinear Schrodinger equation (NLSE), the modulation stability profile of ion acoustic waves in collisionless plasmas with negative ions was investigated theoretically, and either bright or dark soliton have been shown that to exist, depending on the concentration of the negative ions [25].…”

Section: Introductionmentioning

confidence: 99%

Coexistence of negative and positive polarity electrostatic solitary waves in ultradense relativistic negative-ion-beam permeated plasmas

Elkamash

Kourakis

2018

Physics of Plasmas

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The criteria for occurrence and the dynamical features of electrostatic solitary waves in a homogeneous, unmagnetized ultradense plasma penetrated by a negative ion beam are investigated, relying on a quantum hydrodynamic model. The ionic components are modeled as inertial fluids, while the relativistic electrons obey Fermi-Dirac statistics. A new set of exact analytical conditions for localized solitary pulses to exist is obtained, in terms of plasma density. The algebraic analysis reveals that these depend sensitively on the negative ion beam characteristics, that is, the beam velocity and density. Particular attention is paid to the simultaneous occurrence of positive and negative potential pulses, identified by their respective distinct ambipolar electric field structure forms. It is shown that the coexistence of positive and negative potential pulses occurs in a certain interval of parameter values, where the ion beam inertia becomes significant.

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“…The ion acoustic waves and hence, the solitons are found to reflect from a density gradient or the metal surface present in the plasma. There have been a lot of experimental observations concerning solitons in different plasma models [14][15][16][17][18][19][20][21][22][23]. The reflection of a planar ion acoustic soliton has been studied by Nishida [19] from a finite plane boundary.…”

Section: Introductionmentioning

confidence: 99%

Evolution of solitons and their reflection and transmission in a plasma having negatively charged dust grains

et al. 2014

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Theoretical calculations are carried out for studying soliton's reflection and transmission in an inhomogeneous plasma comprising ions, two temperature electrons and negatively charged dust grains. Using reductive perturbation technique, relevant modified KdV equations are derived for the incident, reflected and transmitted solitons. Then a coupled equation is obtained based on these mKdV equations, which is solved for the reflected soliton under the use of solutions of mKdV equations corresponding to the incident and transmitted solitons. Based on the ratio of amplitudes of reflected and incident solitons, reflection coefficient is examined under the effect of dust grain density; the same is done for the transmission coefficient which is the ratio of amplitudes of transmitted and incident solitons. The transmission of the solitons becomes weaker under the effect of stronger magnetic field and higher dust density. However, this leads to the stronger reflection of the soliton.

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Observation of Modified Korteweg—de Vries Solitons in a Multicomponent Plasma with Negative Ions

Cited by 227 publications

References 8 publications

Electrostatic Solitary Waves in Pair-ion Plasmas with Trapped Electrons

Electrostatic Solitary Waves in Pair-ion Plasmas with Trapped Electrons

Coexistence of negative and positive polarity electrostatic solitary waves in ultradense relativistic negative-ion-beam permeated plasmas

Evolution of solitons and their reflection and transmission in a plasma having negatively charged dust grains

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