Modulational instability of electromagnetic ion-cyclotron waves by ion acoustic waves in a collisionless plasma

1982 ◽  
Vol 25 (1) ◽  
pp. 555-560 ◽  
Author(s):  
Md. Salimullah ◽  
Farida Majid
Keyword(s):  
Acoustic Waves ◽  
Modulational Instability ◽  
Collisionless Plasma ◽  
Ion Acoustic Waves ◽  
Ion Cyclotron Waves ◽  
Ion Acoustic ◽  
Ion Cyclotron ◽  
Electromagnetic Ion Cyclotron Waves

Coupling between Electrostatic Ion Cyclotron Waves and Ion Acoustic Waves

1973 ◽  
Vol 30 (12) ◽  
pp. 535-537 ◽  
Author(s):  
T. Ohnuma ◽  
S. Miyake ◽  
T. Watanabe ◽  
T. Watari ◽  
T. Sato
Keyword(s):  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Ion Cyclotron Waves ◽  
Ion Acoustic ◽  
Ion Cyclotron

scholarly journals Modulation Instability of Ion-Acoustic Waves in Plasma with Nonthermal Electrons

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Basudev Ghosh ◽  
Sreyasi Banerjee
Keyword(s):  
Acoustic Waves ◽  
Modulational Instability ◽  
Perturbation Technique ◽  
Collisionless Plasma ◽  
Multiple Scale ◽  
Ion Temperature ◽  
Nls Equation ◽  
Ion Acoustic Waves ◽  
Nonthermal Electrons ◽  
Ion Acoustic

Modulational instability of ion-acoustic waves has been theoretically investigated in an unmagnetized collisionless plasma with nonthermal electrons, Boltzmann positrons, and warm positive ions. To describe the nonlinear evolution of the wave amplitude a nonlinear Schrödinger (NLS) equation has been derived by using multiple scale perturbation technique. The nonthermal parameter, positron concentration, and ion temperature are shown to play significant role in the modulational instability of ion-acoustic waves and the formation of envelope solitons.

Property of Electrostatic Ion-Cyclotron Waves and Ion Acoustic Waves and Ion Acoustic Waves in a Magnetic Field

1976 ◽  
Vol 41 (2) ◽  
pp. 640-647 ◽  
Author(s):  
Toshio Ohnuma ◽  
Shoji Miyake ◽  
Tsuguhiro Watanabe ◽  
Teruyuki Sato ◽  
Tetsuo Watari
Keyword(s):  
Magnetic Field ◽  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Ion Cyclotron Waves ◽  
Ion Acoustic ◽  
Ion Cyclotron

Modulational instability of ion acoustic waves in the presence of density gradients

1979 ◽  
Vol 57 (5) ◽  
pp. 642-644 ◽  
Author(s):  
I. R. Durrani ◽  
G. Murtaza ◽  
H. U. Rahman
Keyword(s):  
Density Gradient ◽  
Acoustic Waves ◽  
Schrodinger Equation ◽  
Modulational Instability ◽  
Collisionless Plasma ◽  
Higher Order ◽  
Density Gradients ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Non Linear

Using the Krylov–Bogoliubov–Mitropolsky method of perturbation for weak non-linearities, we study the modulational instability of ion-acoustic waves in a collisionless plasma in the presence of a density gradient. We find that the density gradient of second or higher order of perturbation does not effect the dispersion and the non-linearity coefficients in the non-linear Schrödinger equation.

scholarly journals The Excitation of Ion-acoustic Waves by a Magnetic Pump in Cylindrical Geometry

1983 ◽  
Vol 36 (5) ◽  
pp. 675
Author(s):  
NF Cramer ◽  
IJ Donnelly
Keyword(s):  
Growth Rate ◽  
Growth Rates ◽  
Acoustic Waves ◽  
Pump Wave ◽  
Modulational Instability ◽  
Collisionless Plasma ◽  
Cylindrical Geometry ◽  
Alfvén Waves ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

The modulational, parametric and purely 8rowing mode instabilities of a magnetic pump with a finite radial wavenumber in cylindrical geometry are investigated. The modulational instability is compared with the instability of a parallel propagating pump wave, and the growth rates are found to be similar. The growth rate of a pair of ion-acoustic waves is shown to be zero for a collisionless plasma, in agreement with less general results found previously. The growth rate in the collisional case is found to be nonzero. The purely growing mode growth rate is calculated for excitation of ionacoustic plus torsional Alfven waves.

Coupling of electrostatic ion cyclotron and ion acoustic waves in the solar wind

2016 ◽  
Vol 23 (8) ◽  
pp. 082901 ◽  
Author(s):  
T. Sreeraj ◽  
S. V. Singh ◽  
G. S. Lakhina
Keyword(s):  
Solar Wind ◽  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Ion Cyclotron

scholarly journals Spiky parallel electrostatic ion cyclotron and ion acoustic waves

2002 ◽  
Vol 9 (1) ◽  
pp. 25-29 ◽  
Author(s):  
R. V. Reddy ◽  
G. S. Lakhina ◽  
N. Singh ◽  
R. Bharuthram
Keyword(s):  
Electric Fields ◽  
Acoustic Waves ◽  
Rest Frame ◽  
Wave Form ◽  
Ion Acoustic Waves ◽  
Parallel Propagation ◽  
Wave Phase Velocity ◽  
Ion Acoustic ◽  
Ion Cyclotron ◽  
Field Aligned Current

Abstract. One of the interesting observations from the FAST satellite is the detection of strong spiky waveforms in the parallel electric field in association with ion cyclotron oscillations in the perpendicular electric fields. We report here an analytical model of the coupled nonlinear ion cyclotron and ion-acoustic waves, which could explain the observations. Using the fluid equations for the plasma consisting of warm electrons and cold ions, a nonlinear wave equation is derived in the rest frame of the propagating wave for any direction of propagation oblique to the ambient magnetic field. The equilibrium bulk flow of ions is also included in the model to mimic the field-aligned current. Depending on the wave Mach number M defined by M = V/Cs with V and Cs being the wave phase velocity and ion-acoustic speed, respectively, we find a range of solutions varying from a sinusoidal wave form for small amplitudes and low M to sawtooth and highly spiky waveforms for nearly parallel propagation. The results from the model are compared with the satellite observations.

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