Oblique ion-acoustic cnoidal waves in two temperature superthermal electrons magnetized plasma

Panwar, Anuraj; Ryu, Chang‐Mo; Bains, A. S.

doi:10.1063/1.4903848

Cited by 44 publications

(44 citation statements)

References 47 publications

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“…Integrating the Kappa distribution over velocity space, the number density for electrons can be obtained as (Panwar et al 2014)…”

Section: Basic Equationsmentioning

confidence: 99%

“…Both compressive and rarefactive solitary structures have been observed in two temperature electron plasmas. Lastly, Panwar et al (2014) studied the oblique propagation of ion acoustic cnoidal waves in magnetized plasma consisting of cold ions and two temperature superthermal electrons modeled by kappa-type distributions. They found that the density ratio of hot electrons to ions significantly modifies compressive/refractive wave structures.…”

Section: Introductionmentioning

confidence: 99%

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Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Annou

2015

Astrophys Space Sci

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Soliton formation in plasma is addressed. Nonlinear acoustic waves in plasma where the combined effects of bounded spherical geometry and the transverse perturbation are dealt with, in two-temperature electron plasma are studied. Using the perturbation method, a spherical KadomtsevPetviashvili equation (SKP) that describes the ion acoustic waves is derived. The plasma is modeled by a kappa distribution function for both electrons components as found in Saturn's magnetosphere. It is found that parameters taken into account have significant effects on the properties of nonlinear waves. The model is applied to Saturn's magnetosphere, where two temperature superthermal electrons are present. Hence, ion acoustic waves are deduced for three regions, namely, the inner, the intermediate and the outer Saturn's magnetosphere. We point out, that this work has been motivated by recent observations of Saturn's magnetosphere.

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“…Integrating the Kappa distribution over velocity space, the number density for electrons can be obtained as (Panwar et al 2014)…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Annou

2015

Astrophys Space Sci

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“…(17) and (18) in Eqs. (11)(12)(13)(14)(15)(16) and collecting the lowest order ∼ 3/2 terms from continuity and x component of momentum equations of e-p plasmas, we obtain the following equations:…”

Section: Derivation Of Korteweg-de Vries (Kdv) Equationmentioning

confidence: 99%

“…In order to derive the KdV equation, we collect the next higher order terms from set of dynamic equations (11)(12)(13)(14)(15)(16). The next higher order ∼ 5/2 terms of continuity equations, x -component of momenta equations, Faraday's and Ampere's laws are respectively described as below:…”

Section: Derivation Of Korteweg-de Vries (Kdv) Equationmentioning

confidence: 99%

“…They also presented the phase portrait analysis for nonlinear periodic waves and solitons for the unperturbed Hamiltonian system. Panwar et al 11 studied the ion-acoustic cnoidal waves in magnetized plasma with two temperature superthermal electrons. They briefly discussed the formation of compressive and rarefactive small amplitude cnoidal waves.…”

Section: Introductionmentioning

confidence: 99%

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Fast magnetohydrodynamic cnoidal waves and solitons in electron-positron plasma

et al. 2018

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Linear and nonlinear propagation of fast magnetohydrodynamic waves (or magnetoacoustic waves) are studied in homogeneous, magnetized and warm collisionless electron-positron (e-p) plasma by using two fluid magnetohydrodynamic model. In the linear limit, the wave dispersion relation is obtained and wave dispersion effect which appears through inertial length in e-p plasma system is also discussed. Using reductive perturbation method, the Korteweg-de Vries (KdV) equation for small but finite wave amplitude of magnetoacoustic waves is derived with appropriate boundary conditions. The cnoidal wave and soliton solutions are obtained using well known Sagdeev potential approach for magnetoacoustic waves in e-p plasmas propagating in the direction perpendicular to the external magnetic field. The phase portrait analysis and numerical illustration of magnetoacoustic cnoidal waves and solitons is also presented by using the parameters such as magnetic field intensity, plasma density and temperature of electron and positron fluids for astrophysical plasma situations exist in the literature.

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Electrostatic cnoidal waves and soliton structures in multi‐ions plasmas

Ur‐Rehman

Mahmood

2018

Contributions to Plasma Physics

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Using a reductive perturbation technique (RPT), the Korteweg-de Vries (KdV) equation for nonlinear electrostatic waves in multi-ion plasmas is derived with appropriate boundary conditions. Furthermore, compressive and rarefactive cnoidal wave and soliton solutions are discussed. In our model, the multi-ion plasma consists of light dynamic warm ions, heavy cold ions, and inertialess electrons, which follows the Maxwell-Boltzmann distribution. It is observed that in such an unmagnetized multi-ion plasma, two characteristic electrostatic waves i.e., slow ion-acoustic (SIA) waves and fast ion-acoustic (FIA) waves, can propagate. The results are discussed by considering two types of multi-ion plasmas i.e., H + -O + -e plasma and H − -O + -e plasma that exist in space plasmas. It is found that for H + -O + -e plasma, the SIA cnoidal wave and soliton form both positive (compressive) and negative (rarefactive) potential pulses, which depend on the temperature and density of the light and warm ions. However, only electrostatic positive potential structures are obtained for FIA cnoidal wave and soliton in H + -O + -e plasma. In the case of H − -O + -e plasma, the SIA cnoidal wave and soliton form only compressive structures, while the FIA cnoidal wave and soliton compose rarefactive structures. The effects of light ions' density and temperature on nonlinear potential structures are investigated in detail.The parametric results are also demonstrated, which are applicable to space and laboratory multi-ion plasma situations.

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Oblique ion-acoustic cnoidal waves in two temperature superthermal electrons magnetized plasma

Cited by 44 publications

References 47 publications

Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Fast magnetohydrodynamic cnoidal waves and solitons in electron-positron plasma

Electrostatic cnoidal waves and soliton structures in multi‐ions plasmas

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