Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature

Singh, Dhananjay Kumar; Malik, Hitendra K.

doi:10.1063/1.2335427

Cited by 33 publications

(29 citation statements)

References 26 publications

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“…(3), we have plotted the complete solitary structures for the fast mode as well as for the slow mode. Here, a significant enhancement in the width is observed at stronger magnetic field, which is in contrast to the investigations made in homogeneous and inhomogeneous magnetized plasmas without consideration of the ionization [24,33]. Hence, it is understood that the dispersive property of the plasma is modified oppositely in the plasma, when the ionization is taken into account; owing to this a wider solitary structure is realized.…”

Section: Results and Discussion: Case Of Ionizationcontrasting

confidence: 48%

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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 Ionizationcontrasting

confidence: 48%

“…Taking λ 0 as the phase velocity of the wave and following [23,33,34], we introduce the following stretched coordinates and the expansion of physical quantities…”

Section: Basic Fluid Equationsmentioning

confidence: 99%

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

Kumari¹,

Malik²,

Dahiya³

2014

TOPPJ

Self Cite

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“…Another interesting point of negative ion containing plasmas is that the balance between nonlinearity and dispersion is lost at some critical density of negative ions, and then the coefficient of the nonlinear term of the KdV equation vanishes. 12,13 For example, in a recent investigation 12 of magnetized inhomogeneous plasma that has positive and negative ions of equal masses and temperatures, the nonlinear term of the relevant KdV equation vanishes at the density n n0 of the negative ions. This density n n0 shows the dependence on the positive ion density n p0 and temperatures of the positive and negative ions, as per the following equation:…”

Section: Introductionmentioning

confidence: 98%

“…[6][7][8] On the other hand, relevant KdV equations have been reported in plasma under the effect of external static magnetic field, which show the modification in the soliton propagation characteristics. 3,[9][10][11][12] In ordinary plasma with positive ions and electrons, usually compressive solitons are found to propagate. However, when negative ions are introduced, the response of the plasma to the perturbations gets drastically modified as the negative ions respond out of phase with the positive ions.…”

Section: Introductionmentioning

confidence: 99%

Soliton propagation in an inhomogeneous plasma at critical density of negative ions: Effects of gyratory and thermal motions of ions

Malik

Kawata

2007

Physics of Plasmas

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“…By applying the external magnetic field, isotropy of the plasma medium will be violated, which leads to the appearance of significant result in the dynamics of IA wave. [59,60,61] Finally, this investigation should be useful for the understanding of the propagation of electrostatic nonlinear periodic wave in astrophysical e-p-i plasma situations, such as pulsars, neutron stars, and white dwarfs, and laboratory experiment where the nonextensive electrons and the Maxwellian positrons with cold ions exit. The results may have relevance in astrophysical plasmas and in inertial confinement fusion plasmas.…”

Section: Resultsmentioning

confidence: 99%

Nonlinear ion‐acoustic cnoidal wave in electron‐positron‐ion plasma with nonextensive electrons

Farhadkiyaei

Dorranian

2017

Contrib. Plasma Phys

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Effects of plasma nonextensivity on the nonlinear cnoidal ion-acoustic wave in unmagnetized electron-positron-ion plasma have been investigated theoretically. Plasma positrons are taken to be Maxwellian, while the nonextensivity distribution function was used to describe the plasma electrons. The known reductive perturbation method was employed to extract the KdV equation from the basic equations of the model. Sagdeev potential, as well as the cnoidal wave solution of the KdV equation, has been discussed in detail. We have shown that the ion-acoustic periodic (cnoidal) wave is formed only for values of the strength of nonextensivity (q). The q allowable range is shifted by changing the positron concentration (p) and the temperature ratio of electron to positron ( ). For all of the acceptable values of q, the cnoidal ion-acoustic wave is compressive. Results show that ion-acoustic wave is strongly influenced by the electron nonextensivity, the positron concentration, and the temperature ratio of electron to positron. In this work, we have investigated the effects of q, p, and on the characteristics of the ion-acoustic periodic (cnoidal) wave, such as the amplitude, wavelength, and frequency. KEYWORDScnoidal wave, electron-positron-ion plasma, ion-acoustic nonlinear wave, plasma nonextensivity, solitary wave INTRODUCTIONPlasma is mainly the science of universe, new accelerators, and new source of energy. Furthermore, there are many other applications of plasma that is penetrating into the technology of our ordinary life. [1,2] Plasma is a multimode medium. Depending on plasma species and condition, as well as plasma energy, a wide range of longitudinal or transverse modes in cnoidal or soliton form may generate in plasma medium. Some of them may be observed in linear regime, but there are a large number of plasma modes that will appear after taking the nonlinearity into account. Because of its high energy, the nonlinear phenomena play an essential role in plasma medium.Normal plasmas comprise of electrons, ions, and neutral particles. In the case of high-energy plasma, positrons will be produced in the medium due to pair production phenomena. The electron-positron-ion (e-p-i) plasma has an important role in the understanding of the plasmas in the early universe, [3,4] in active galactic nuclei, [5] in pulsar magnetospheres, [6,7] and in the solar atmosphere.[8] It is well known that when positrons are introduced into e-i plasma, the response of the plasma changes significantly. The presence of positrons has some application in plasma. For instance, they can be used to probe particle transport in tokamaks, and since they have sufficient lifetime, the two-component (e-i) plasma becomes three-component (e-p-i) plasma. [9][10][11][12][13] Most of the astrophysical plasmas also contain positrons in addition to electrons and ions. During the last decade, e-p-i plasma has attracted the attention of several authors. They have studied the linear and nonlinear wave propagation in e-p-i plasmas using different models. [14][1...

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Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature

Cited by 33 publications

References 26 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

Soliton propagation in an inhomogeneous plasma at critical density of negative ions: Effects of gyratory and thermal motions of ions

Nonlinear ion‐acoustic cnoidal wave in electron‐positron‐ion plasma with nonextensive electrons

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