Alfvénic shock waves in a collisional magnetoplasma

Shukła, P. K.; Eliasson, Bengt; Stenflo, L.

doi:10.1016/j.physleta.2011.05.006

Cited by 13 publications

(6 citation statements)

References 9 publications

(9 reference statements)

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“…In view of the mass difference we may conclude that the first term on the rhs in ( 18) is indeed negligible. A similar comparison of terms can be used in equation (19), showing that the first term on the rhs in equation ( 19) is negligible as well.…”

Section: Model and Equationsmentioning

confidence: 95%

“…Nevertheless, the usual nonlinear theory dealing with purely compressive phenomena is formally correct, and such compressive nonlinear solutions are mathematically allowed and physically possible. Physical phenomena obtained within such a model are numerous and this is partly seen from the huge number of studies in the past 50 years, and after so many decades the mode is still in the focus of researchers as it was in its early days, cf recent [17][18][19][20][21][22][23][24][25][26]. The unexplored physics of the nonlinear mode, that should follow from the additional shear component, is expected to be important.…”

Section: Introductionmentioning

confidence: 99%

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Some unexplored features of the nonlinear compressive magnetoacoustic Alfvénic waves

Vranjes

Pandey

2013

Phys. Scr.

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The theory of nonlinear magnetoacoustic wave in the past has strictly been focused on purely compressive features of the mode. We show that a complete set of nonlinear equations necessarily includes both compressional and shear components of the magnetic field. These two turn out to be described by exactly the same nonlinear equations, which make the use of such a complete full set of equations far less complicated than expected. Present results should considerably enrich the theory of these waves by opening up new frontiers of investigation and providing some completely new types of nonlinear solutions.

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Section: Model and Equationsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Some unexplored features of the nonlinear compressive magnetoacoustic Alfvénic waves

Vranjes

Pandey

2013

Phys. Scr.

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“…36 Shukla et al 37,38 investigated the nonlinear propagation of low-phase speed compressional dispersive Alfven waves that are propagating in a cold collisional plasma across a uniform magnetic field. Here, a formalism to examine non-linear large amplitude compressional Alfven double layer that is propagating across the magnetic field lines in magnetohydrodynamic (MHD) plasmas is developed.…”

Section: Introductionmentioning

confidence: 99%

Sagdeev potential approach for large amplitude compressional Alfvenic double layers in viscous plasmas

2013

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Sagdeev's technique is used to study the large amplitude compressional Alfvenic double layers in a magnetohydrodynamic plasma taking into account the small plasma b and small values of kinematic viscosity. Dispersive effect raised by non-ideal electron inertia currents perpendicular to the ambient magnetic field. The range of allowed values of the soliton speed, M (Mach number), plasma b (ratio of the plasma thermal pressure to the pressure in the confining magnetic field), and viscosity coefficient, wherein double layer may exist, are determined. In the absence of collisions, viscous dissipation modifies the Sagdeev potential and results in large amplitude compressional Alfvenic double layers. The depth of Sagdeev potential increases with the increasing Mach number and plasma b, however, decreases with the increasing viscosity. The double layer structure increases with the increasing plasma b, but decreases with increasing viscous dissipationl. V C 2013 AIP Publishing LLC. [http://dx.

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“…Since in many astrophysical environments, there exist a small number of ions along with the electrons and positrons, the symmetry of e-p plasma dynamics breaks in the presence of ions, and it is important to investigate the linear and nonlinear behavior of plasma waves in electron-positron-ion (e-p-i) plasmas. Much research has been carried out to study e-p and e-p-i plasmas over the past few years [15,[18][19][20][21][22][23][24][25][26]. Electron-acoustic waves (EAWs) are typically high-frequency plasma waves in comparison with the ion plasma frequency.…”

Section: Introductionmentioning

confidence: 99%

Head-on collision of electron acoustic solitary waves in dense magnetized electron–positron–ion plasma

Ruan

Cheng

2013

Phys. Scr.

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In this paper, we study the head-on collision between two electron acoustic solitary waves (EASWs) in magnetized quantum electron–positron–ion plasma. Using the extended Poincaré–Lighthill–Kuo perturbation method, we obtain the Korteweg–de Vries equations, the phase shifts and the trajectories after the head-on collision of the two EASWs. It is found that the phase shifts are significantly affected by the values of the quantum parameter H, the ion to electron number density ratio δ, the electron cyclotron to electron plasma frequency ratio α and the obliqueness θ (propagation angle).

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Alfvénic shock waves in a collisional magnetoplasma

Cited by 13 publications

References 9 publications

Some unexplored features of the nonlinear compressive magnetoacoustic Alfvénic waves

Some unexplored features of the nonlinear compressive magnetoacoustic Alfvénic waves

Sagdeev potential approach for large amplitude compressional Alfvenic double layers in viscous plasmas

Head-on collision of electron acoustic solitary waves in dense magnetized electron–positron–ion plasma

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