Evolution of nonlinear magnetosonic waves propagating obliquely to an external magnetic field in a collisionless plasma

Chakraborty, Debalina; Das, K. P.

doi:10.1017/s0022377800008618

Cited by 8 publications

(5 citation statements)

References 2 publications

(11 reference statements)

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“…Using Equations ( 20) and ( 21) in Equations (8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19) and collecting the lowest order terms of , we obtain the following set of equations,…”

Section: Derivation Of the Dkdv Equationmentioning

confidence: 99%

“…[8] The dispersion caused by Finite-Larmor-Radius effects was studied on magnetosonic waves propagating obliquely in external magnetic field. [9] It was shown that nonlinear magnetosonic waves propagating obliquely to an external uniform magnetic field in a collisionless plasma is governed by a Kadomtsev-Petviashvili equation with an extra dispersive term.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear propagation of fast and slow magnetosonic waves in collisional plasmas

Akhtar

Hussain

Mahmood

2021

Contributions to Plasma Physics

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Low-frequency fast and slow magnetosonic waves propagating in electron ion plasmas with damping effects through ions and neutral atoms collisions are investigated. Linear wave analysis is performed to obtain dispersion relation. The reductive perturbation method is applied and it is shown that fast and slow modes of nonlinear magnetosonic wave are governed by damped Korteweg-de Vries (DKdV) equation in the presence of ion neutral collisions in plasmas. The analytical solution of DKdV soliton is presented under the assumption of weak collisional effects and numerical solutions of DKdV equation are also obtained using two-level finite difference scheme with the help of Runge-Kutta method at different plasma parameters. The damping of nonlinear fast and slow magnetosonic wave structures at different times are discussed in the context of space plasma situations where ions and neutral atoms collisions exist.

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“…Using Equations ( 20) and ( 21) in Equations (8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19) and collecting the lowest order terms of , we obtain the following set of equations,…”

Section: Derivation Of the Dkdv Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear propagation of fast and slow magnetosonic waves in collisional plasmas

Akhtar

Hussain

Mahmood

2021

Contributions to Plasma Physics

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“…Recently, many authors have focused their attention on investigating the formation and propagation of different modes involving magnetosonic excitations in plasmas, e.g. the KdV/KP (Kadomtsev–Petviashvili) solitons, envelope solitons, double layer shocks, etc., (Chakraborty & Das 2000; Mushtaq & Shah 2005 b ; Hussain & Mahmood 2011; Wang, Lu & Eliasson 2013). Mushtaq & Viladimirov (2010) has examined the spin effects associated with degenerate plasma species on fast and slow magnetosonic waves in a spin quantum plasma within the framework of a one-fluid quantum magnetohydrodynamic (QMHD) model.…”

Section: Introductionmentioning

confidence: 99%

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

2016

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Two-fluid quantum magnetohydrodynamic (QMHD) equations are employed to investigate linear and nonlinear properties of the magnetosonic waves in a semi-relativistic dense plasma accounting for degenerate relativistic electrons. In the linear analysis, a plane wave solution is used to derive the dispersion relation of magnetosonic waves, which is significantly modified due to relativistic degenerate electrons. However, for a nonlinear investigation of solitary and shock waves, we employ the reductive perturbation technique for the derivation of Korteweg–de Vries (KdV) and Korteweg–de Vries Burger (KdVB) equations, admitting nonlinear wave solutions. Numerically, it is shown that the wave frequency decreases to attain a lowest possible value at a certain critical number density $N_{c}^{(0)}$, and then increases beyond $N_{c}^{(0)}$ as the plasma number density increases. Moreover, the relativistic electrons and associated pressure degeneracy lead to a reduction in the spatial extents of the magnetosonic waves and a strengthening of the shock amplitude. The results might be important for understanding the linear and nonlinear magnetosonic excitations in dense astrophysical plasmas, such as in white dwarfs, magnetars and neutron stars, etc., where relativistic degenerate electrons are present.

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“…y + · · · The dispersion and the nonlinearities then act on the slow time τ = 3/2 t. The reductive perturbative expansion is straightforward and, in the absence of Landau damping, leads to the usual Korteweg-de Vries equation (Kakutani et al, 1968;Kever and Morikawa, 1969;Chakraborty and Das, 2000). In the regimes where the strength of the Landau damping is small enough to be comparable with dispersion and nonlinearity, for example in the case of hot electrons and cold ions, a Korteweg-de Vries equation with Landau damping is obtained (Janaki et al, 1992).…”

Section: Oblique Magnetosonic Wavesmentioning

confidence: 99%

“…(40)- (44). This approximation obtained in a local frame where the z-axis points along the local magnetic field is often oversimplified by using the same formula in a fixed frame with the z-axis along the ambient field (Khanna and Rajaram, 1982;Chakraborty and Das, 2000). These two references also involve a sign error in the definition of the components xy .…”

Section: B: Second Order Flr Corrections To the Pressure Tensormentioning

confidence: 99%

A fluid description for Landau damping of dispersive MHD waves

Passot

Sulem

2004

Nonlin. Processes Geophys.

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Abstract. The dynamics of long oblique MHD waves in a collisionless plasma permeated by a uniform magnetic field is addressed using a Landau-fluid model that includes Hall effect and electron-pressure gradient in a generalized Ohm's law and retains ion finite Larmor radius (FLR) corrections to the gyrotropic pressure (Phys. Plasmas 10, 3906, 2003). This one-fluid model, built to reproduce the weakly nonlinear dynamics of long dispersive Alfvén waves propagating along an ambient field, is shown to correctly capture the Landau damping of oblique magnetosonic waves predicted by a kinetic theory based on the Vlasov-Maxwell system. For oblique and kinetic Alfvén waves (for which second order FLR corrections are to be retained), the linear character of waves with small but finite amplitudes is established, and the dispersion relation reproduced in the regime of adiabatic protons and isothermal electrons, associated with the condition m e /m p β T e /T p , where β is the squared ratio of the ion-acoustic to the Alfvén speeds. It is shown that in more general regimes, the heat fluxes are, to leading order, not gyrotropic and dependent on the Hall effect to leading order.

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Evolution of nonlinear magnetosonic waves propagating obliquely to an external magnetic field in a collisionless plasma

Cited by 8 publications

References 2 publications

Nonlinear propagation of fast and slow magnetosonic waves in collisional plasmas

Nonlinear propagation of fast and slow magnetosonic waves in collisional plasmas

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

A fluid description for Landau damping of dispersive MHD waves

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