Effect of trapped electrons on soliton propagation in a plasma having a density gradient

Aziz, Farah; Stroth, U.

doi:10.1063/1.3091934

Cited by 21 publications

(17 citation statements)

References 29 publications

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“…(7) shows the fast and slow solitary structures for Here, we see that the width decreases with the increase in σ p for both the fast and slow solitary structures. This is consistent with the observation made by Aziz and Stroth [14]. The amplitude of both the solitary structures is also reduced for higher σ p , which is also seen by Malik and Singh [25] in a weakly relativistic magnetized plasma without ionization.…”

Section: Results and Discussion: Case Of Ionizationsupporting

confidence: 81%

“…His theory was extended by Singh and Dahiya [13] for an inhomogeneous plasma, where they had obtained the KdV equation for one-dimensional soliton using Reductive Perturbation Technique (RPT) along with appropriate coordinate transformation. The oblique propagation of solitons has been studied by Aziz and Stroth [14] in an inhomogeneous plasma, where the effect of ion temperature was examined on the soliton propagation characteristics. On the other hand, Nakamura [15−17], Nishida [7,8,10] and Lonngren [18−22, 39−41] groups have conducted several experimental studies on solitons in different types of plasmas.…”

Section: Introductionmentioning

confidence: 99%

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Inhomogeneity Effect on Solitary Structures in a Magnetized Warm Plasma: Ionization Versus Recombination

Kumari¹,

Malik²,

Dahiya³

2014

TOPPJ

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Abstract:In a magnetized inhomogeneous warm plasma having ionization/recombination, usual version of the KdV equation is found to be modified by two additional terms arising due to the inclusion of ionization/recombination and the density gradient in the plasma. The density gradient in the plasma shows its dependence on the ionization/recombination rate, ion-to-electron temperature ratio, obliqueness of the magnetic field and drift velocity of the ions. In the considered plasma, only the compressive solitary structures are found to propagate corresponding to two different types of modes. A significant effect of magnetic field and ion temperature is found on these structures in both the cases of ionization and recombination, though these structures show weak dependence on the charge of the ions. Interestingly the solitons with prominent tailing structures are evolved in the plasma under the effect of stronger density gradient and higher ionization or recombination. The tailing structure with bigger size evolves in the plasma in the case of only recombination, suggesting that the exchange/transfer of energy from the main soliton to its tail is on a greater scale in the case of recombination than the case of ionization. There exists a critical value of the ionization rate at which the tailing structure associated with only the fast (not slow) solitary structure is vanished. Similarly, the tailing structure associated with only the slow (not fast) solitary structure is disappeared at a critical value of recombination rate.

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Section: Results and Discussion: Case Of Ionizationsupporting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Inhomogeneity Effect on Solitary Structures in a Magnetized Warm Plasma: Ionization Versus Recombination

Kumari¹,

Malik²,

Dahiya³

2014

TOPPJ

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“…In homogeneous plasma, the behavior of 1-D solitons is described by the well-known Korteweg-deVries (KdV) equation [1]- [7], which is a nonlinear partial differential equation derived for the first time in the plasma by Washimi and Taniuti [1]. If, however, a density gradient is present in the plasma, then the KdV equation is usually modified in terms of an extra term due to the inhomogeneity [8]- [11]. The density gradients, apart from being the origin of an extra term in the KdV equation, are also responsible for the reflection of the solitons.…”

Section: Introductionmentioning

confidence: 99%

Oblique Reflection of Solitons in an Inhomogeneous Plasma: Effect of Trapped Electrons

Aziz

Malik

Stroth

2010

IEEE Trans. Plasma Sci.

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This paper aims at studying the oblique reflection of solitons in an inhomogeneous plasma having finite-temperature ions and trapped electrons (two-temperature nonisothermal electrons). In order to study the soliton reflection, a coupled equation is derived based on modified Korteweg-deVries equations for the incident and reflected solitons, and then, it is solved along with the use of incident soliton solution. The expressions for the reflected soliton amplitude, width, and reflection coefficient are obtained and examined for different parameter regimes. The reflection coefficient, which is the ratio of reflected and incident soliton amplitudes, is found to be independent of the ion and electron temperatures. It infers that both the amplitudes change in the same proportion with the ion and electron temperatures. It is observed that the soliton reflects with higher amplitude when the obliqueness is smaller. It is also seen that the reflected soliton undergoes a downshift in its original line of propagation. This downshift is further investigated in detail. The effect of the trapped electrons on the soliton reflection characteristics and on the downshift is also analyzed.

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“…(12). To analyze these structures, we use a sine-cosine method [4,5,34] because the solution of mKdV equations cannot be determined by ordinary methods due to presence of variable coefficients. For this, we put (12) and get…”

Section: Basic Fluid Equations and Reductive Perturbation Techniquementioning

confidence: 99%

“…Washimi and Taniuti [1] were the first to derive the well-known Korteweg-deVries (KdV) equation with the help of reductive perturbation technique (RPT) to describe the soliton behavior in the homogeneous plasma. However, plasma contributes an extra term in the usual KdV equation [2][3][4][5], when the density inhomogeneity is taken into account, and then modified KdV (mKdV) equation is realized. Accordingly, the soliton behavior is modified in the inhomogeneous plasmas.…”

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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Effect of trapped electrons on soliton propagation in a plasma having a density gradient

Cited by 21 publications

References 29 publications

Inhomogeneity Effect on Solitary Structures in a Magnetized Warm Plasma: Ionization Versus Recombination

Inhomogeneity Effect on Solitary Structures in a Magnetized Warm Plasma: Ionization Versus Recombination

Oblique Reflection of Solitons in an Inhomogeneous Plasma: Effect of Trapped Electrons

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

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