Excitation of ion-acoustic rarefactive solitons in a two-electron-temperature plasma

Nishida, Yasushi; Nagasawa, Takeshi

doi:10.1063/1.865717

Cited by 109 publications

(59 citation statements)

References 9 publications

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“…The reflected soliton carries opposite profile to the incident soliton [40], which means the soliton changes its polarity after its reflection. This is the similar result as obtained by Nishida and Nagasawa [18] in an experiment conducted in a plasma with two temperature electrons. So our theoretical calculations confirm their findings.…”

Section: Resultssupporting

confidence: 79%

“…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%

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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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Section: Resultssupporting

confidence: 79%

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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“…Two-electron temperature plasmas are very common in the space [28], as well as in laboratory experiments [29]. For example, when out flows of the electron-positron plasma from pulsars enters an interstellar cold, low-density electron-ion plasma, the two-electron temperature plasma could be formed [30].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear ion-acoustic structures in a nonextensive electron–positron–ion–dust plasma: Modulational instability and rogue waves

2012

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a b s t r a c tThe nonlinear propagation of planar and nonplanar (cylindrical and spherical) ion-acoustic waves in an unmagnetized electron-positron-ion-dust plasma with two-electron temperature distributions is investigated in the context of the nonextensive statistics. Using the reductive perturbation method, a modified nonlinear Schrödinger equation is derived for the potential wave amplitude. The effects of plasma parameters on the modulational instability of ion-acoustic waves are discussed in detail for planar as well as for cylindrical and spherical geometries. In addition, for the planar case, we analyze how the plasma parameters influence the nonlinear structures of the first-and second-order ionacoustic rogue waves within the modulational instability region. The present results may be helpful in providing a good fit between the theoretical analysis and real applications in future spatial observations and laboratory plasma experiments.

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“…The phase velocity of such waves lies between the electron and ion thermal velocities. Plasmas with two groups of electrons (e.g., cool and hot electrons) are very common in laboratories [1][2][3] as well as in space environments [4]. In this context, a large number of investigations have been made to study the characteristics of IAWs in two-temperature electron plasmas [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

2015

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We study the amplitude modulation of ion-acoustic wave (IAW) packets in an unmagnetized electron-ion plasma with two-temperature (cool and hot) electrons in the context of the Tsallis' nonextensive statistics. Using the multiple-scale technique, a nonlinear Schrödinger (NLS) equation is derived which governs the dynamics of modulated wave packets. It is shown that in nonextensive plasmas, the IAW envelope is always stable for long-wavelength modes (k → 0) and unstable for short-wavelengths with k > ∼ 1. However, the envelope can be unstable at an intermediate scale of perturbations with 0 < k < 1. Thus, the modulated IAW packets can propagate in the form of bright envelope solitons or rogons (at small-and medium scale perturbations) as well as dark envelope solitons (at large scale). The stable and unstable regions are obtained for different values of temperature and density ratios as well as the nonextensive parameters qc and q h for cool and hot electrons. It is found that the more (less) the population of superthermal cool (hot) electrons, the smaller is the growth rate of instability with cutoffs at smaller wave numbers of modulation.

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Excitation of ion-acoustic rarefactive solitons in a two-electron-temperature plasma

Cited by 109 publications

References 9 publications

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

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

Nonlinear ion-acoustic structures in a nonextensive electron–positron–ion–dust plasma: Modulational instability and rogue waves

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

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