Landau Damping of Ion Acoustic Waves in a Uniform Magnetic Field

In the current study, we instigate the four-dimensional nonlinear modified Zakharov–Kuznetsov (NLmZK) equation. The NLmZK equation guides the attitude of weakly nonlinear ion-acoustic waves in a plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic field. Two different methods are used, namely the sine-Gordon expansion method (SGEM) and the [Formula: see text]-expansion method to the proposed model. We have successfully constructed some topological, non-topological, and wave solutions. In addition, the 2D, 3D, and contour graphs of the solutions are also plotted under the choice of appropriate values of the parameters.

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Excitation of Ion Acoustic Waves in a Uniform Magnetic Field

Journal of the Physical Society of Japan ◽

10.1143/jpsj.19.2210 ◽

1964 ◽

Vol 19 (11) ◽

pp. 2210-2214 ◽

Cited By ~ 1

Author(s):

Michio Matsumoto

Keyword(s):

Magnetic Field ◽

Acoustic Waves ◽

Uniform Magnetic Field ◽

Ion Acoustic Waves ◽

Ion Acoustic

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Dynamics of nonlinear ion-acoustic waves in an external magnetic field

Lettere al Nuovo Cimento ◽

10.1007/bf02746756 ◽

1985 ◽

Vol 44 (8) ◽

pp. 537-543 ◽

Cited By ~ 7

Author(s):

E. Infeld ◽

P. Frycz ◽

T. Czerwiśka-Lenkowska

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Acoustic Waves ◽

Ion Acoustic Waves ◽

Ion Acoustic

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Plasmon beam instability and plasmon Landau damping of ion acoustic waves

Physics of Plasmas ◽

10.1063/1.1479142 ◽

2002 ◽

Vol 9 (6) ◽

pp. 2604-2608 ◽

Cited By ~ 22

Author(s):

J. T. Mendonça ◽

R. Bingham

Keyword(s):

Acoustic Waves ◽

Landau Damping ◽

Beam Instability ◽

Ion Acoustic Waves ◽

Ion Acoustic

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Virtual exciter of ion-acoustic waves in an external magnetic field

The Physics of Fluids ◽

10.1063/1.1694602 ◽

1974 ◽

Vol 17 (1) ◽

pp. 256

Author(s):

I. Alexeff

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Acoustic Waves ◽

Ion Acoustic Waves ◽

Ion Acoustic

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Self-focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas. Part 2. Numerical simulations, two-soliton collisions

Journal of Plasma Physics ◽

10.1017/s0022377800012010 ◽

1987 ◽

Vol 37 (1) ◽

pp. 97-106 ◽

Cited By ~ 36

Author(s):

E. Infeld ◽

P. Frycz

Keyword(s):

Magnetic Field ◽

Numerical Simulations ◽

Growth Rates ◽

Nonlinear Waves ◽

Acoustic Waves ◽

Ion Acoustic Waves ◽

Self Focusing ◽

Long Wave ◽

Ion Acoustic ◽

Soliton Collisions

Nonlinear waves and solitons satisfying the Zakharov-Kuznetsov equation for a dilute plasma immersed in a strong magnetic field are studied numerically. Growth rates of perpendicular instabilities, found theoretically in part 1, are confirmed and extended to arbitrary wavelengths of the perturbations (the calculations of part 1 were limited to long-wave perturbations). The effects of instabilities on nonlinear waves and solitons are illustrated graphically. Pre-vious, approximate results of other authors on the perpendicular growth rates for solitons are improved on. Similar results for perturbed nonlinear waves are presented. The effects of two-soliton collisions on instabilities are investigated. Rather surprisingly, we find that the growth of instabilities can be retarded by collisions. Instabilities can also be transferred from one soliton to another in a collision. This paper can be read independently of part 1.

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Landau damping of long wavelength ion acoustic waves in a collision-free plasma with a gravity field

Journal of Plasma Physics ◽

10.1017/s0022377800004153 ◽

1969 ◽

Vol 3 (1) ◽

pp. 13-20 ◽

Cited By ~ 10

Author(s):

D. Parkinson ◽

K. Schindler

Keyword(s):

Gravity Field ◽

Acoustic Waves ◽

Fluid Dynamic ◽

Scale Height ◽

Landau Damping ◽

Ion Acoustic Waves ◽

Equilibrium Plasma ◽

Long Wavelength ◽

Ion Acoustic ◽

Free Plasma

Ion acoustic waves propagating in a collision-free gravity-supported one-dimeiisional plasma are studied, including conditions where the wavelength is of the order of the scale height of the equilibrium plasma. It turns out that the fluid dynamic steepening tendency of waves propagating in the direction of decreasing density is overcome by Landau damping up to wavelengths of the order of the scale height or even larger, depending on the ratio of the electron and the ion temperatures.

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