Magnetoacoustic nonlinear periodic (cnoidal) waves in plasmas

Ur‐Rehman, Hafeez; Mahmood, S.; Hussain, S.

doi:10.1063/1.4973836

Cited by 22 publications

(16 citation statements)

References 35 publications

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“…The study of cnoidal waves has become one of the important areas of research because of their wide range of applications in nonlinear transport processes in plasmas [22], ionosphere plasmas [23], single-mode drift wave spectra [24], and so on. A variety of investigations have been reported by numerous researchers [25][26][27][28] to study the characteristics of cnoidal waves in different plasma regimes. Kaladze et al [29] deduced Korteweg-de Vries (KdV) equation by employing the reductive perturbation method and investigated electrostatic acoustic nonlinear periodic waves in unmagnetised pair-ion plasmas that constitute the same mass ion species with different temperatures.…”

Section: Introductionmentioning

confidence: 99%

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

Kaur

Saini

2019

Zeitschrift Für Naturforschung A

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An investigation of nonlinear ion acoustic (IA) cnoidal waves in a magnetised quantum plasma is presented by using spin evolution quantum hydrodynamics model, in which inertial classical ions and degenerate inertialess electrons with both spin-up and spin-down states taken as separate species are considered. The Korteweg-de Vries equation is derived using the reductive perturbation method. Further, using the Sagdeev pseudopotential approach, the solution for IA cnoidal waves is derived with suitable boundary conditions. There is the formation of only positive potential cnoidal, and in the limiting case, positive solitary waves are observed. The effects of density polarisation and other plasma parameters on the characteristic features of cnoidal and solitary waves have been analysed numerically. It is seen that the spin density polarisation significantly affects the characteristics of cnoidal structures as we move from strongly spin-polarised (µ = 1) to a zero spin-polarisation case (µ = 0). The results obtained in the present investigation may be useful in comprehending various nonlinear excitations in dense astrophysical regions, such as white dwarfs, neutron stars, and so on.

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Section: Introductionmentioning

confidence: 99%

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

Kaur

Saini

2019

Zeitschrift Für Naturforschung A

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“…The wave dispersion effects are found to be decreased with the increase in the value of plasma beta. Similar to usual e-i plasma case, 14 the depth of Sagdeev potential in e-p plasma increases with the increase in the value of plasma beta β P . Also, amplitude of the cnoidal wave and soliton in e-p plasma is found to be increased while the width of the soliton is decreased with the increase in the value of plasma beta β P .…”

Section: Discussionmentioning

confidence: 52%

“…(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%

“…Recently, the compressive and rarefactive dust-ion acoustic cnoidal waves and associated nonlinear ion flux in unmagnetized nonthermal dusty plasmas was investigated by Rehman and Mahmood. 13 Rehman et al 14 also studied the propagation of magnetoacoustic cnoidal waves and solitons in electron-ion (e-i) plasma.…”

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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Interaction of magnetoacoustic solitons in plasmas with dispersion effects through electron inertia

Shahida

Mahmood

Qamar

et al. 2018

Contributions to Plasma Physics

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The head-on collision between two magnetoacoustic solitons is investigated in a magnetized plasma containing inertial cold ions and warm electrons. A two-fluid magnetohydrodynamic (MHD) model is used to study the magnetoacoustic solitons interaction in plasmas. The magnetoacoustic wave dispersion effects appearing through electron inertial length (skin depth) are also included in the model. By using the extended Poincaré-Lighthill-Kuo (PLK) method, the Korteweg-de Vries (KdV) equations are derived for the low amplitude left and right moving magnetoacoustic solitons, their trajectories, and corresponding phase shifts after their elastic collisions are obtained analytically and examined numerically as well. It is found that only positive polarity (compressive) soliton structures of magnetoacoustic waves are formed. The profiles of head-on collision and the time evolution of two compressive interacting magnetoacoustic solitons are also presented for illustration. The effect of plasma beta, which depends on plasma density, electron temperature, and magnetic field intensity, on the phase shift of the interacting magnetoacoustic solitons is also examined.

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Magnetoacoustic nonlinear periodic (cnoidal) waves in plasmas

Cited by 22 publications

References 35 publications

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

Fast magnetohydrodynamic cnoidal waves and solitons in electron-positron plasma

Interaction of magnetoacoustic solitons in plasmas with dispersion effects through electron inertia

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