Three-dimensional ion-acoustic waves in a collisionless plasma

1982 ◽  
Vol 34 (12) ◽  
pp. 380-384 ◽  
Author(s):  
S. Giambò ◽  
P. Pantano
Keyword(s):  
Acoustic Waves ◽  
Collisionless Plasma ◽  
Three Dimensional ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

Stability and instability of some nonlinear dispersive solitary waves in higher dimension

1996 ◽  
Vol 126 (1) ◽  
pp. 89-112 ◽  
Author(s):  
Anne de Bouard
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Three Dimensional ◽  
Higher Dimension ◽  
Ion Acoustic Waves ◽  
Stability And Instability ◽  
Ion Acoustic ◽  
De Vries ◽  
The Stability

We study the stability of positive radially symmetric solitary waves for a three dimensional generalisation of the Korteweg de Vries equation, which describes nonlinear ion-acoustic waves in a magnetised plasma, and for a generalisation in dimension two of the Benjamin–Bona–Mahony equation.

Three-dimensional propagation of ion-acoustic waves in the plasma environment of the Venusian ionosphere

2020 ◽  
Vol 95 (11) ◽  
pp. 115603 ◽  
Author(s):  
F S H Sayed ◽  
W M Moslem ◽  
R E Tolba ◽  
A A Turky ◽  
R A Koramy
Keyword(s):  
Acoustic Waves ◽  
Three Dimensional ◽  
Ion Acoustic Waves ◽  
Plasma Environment ◽  
Ion Acoustic

The theory of nonlinear ion-acoustic waves revisited

1996 ◽  
Vol 56 (3) ◽  
pp. 441-450 ◽  
Author(s):  
W. Malfliet ◽  
E. Wieërs
Keyword(s):  
Acoustic Waves ◽  
Collisionless Plasma ◽  
Travelling Wave ◽  
Perturbation Approach ◽  
Third Order ◽  
Ion Acoustic Waves ◽  
First Order ◽  
Basic Set ◽  
Ion Acoustic ◽  
Higher Order Corrections

The basic set of equations describing nonlinear ion-acoustic waves in a cold collisionless plasma, in the limit of long wavelengths, is reconsidered. First, a travelling-wave solution is found up to third order by means of a straightforward perturbation approach based on the smallness of the wavenumber. As a result, a positive dressed solitary wave shows up, which is larger, taller and faster than the KdV soliton, the first-order result. Furthermore, the accuracy of this approach is tested and compared with previous result. Secondly, the reductive perturbation techique to study higher-order corrections is revised and adapted to the present problem.

Stability of nonlinear ion sound waves and solitons in plasmas

1979 ◽  
Vol 366 (1727) ◽  
pp. 537-554 ◽  
Keyword(s):  
Nonlinear Waves ◽  
Acoustic Waves ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
One Dimension ◽  
Sound Waves ◽  
Ion Acoustic Waves ◽  
Two Component ◽  
Ion Acoustic ◽  
Nonlinear Solutions

Large amplitude ion acoustic waves and solitons in two component plasmas are investigated for stability. The soliton solutions are found to be stable, while the nonlinear waves are always unstable, though for a significant range of parameters they are only unstable to fully three-dimensional perturbations. The results in one dimension are compared with those obtained from the K. –de V. equation, which gives stability for the nonlinear waves and solitons. Agreement is surprisingly good for Mach numbers less than about 1.5. A three-dimensional generalization of the K. –de V. equation is considered but this leads to stability for all nonlinear solutions and hence is not a good model for nonlinear waves. It is, however, reasonable in the soliton limit.

Three-dimensional stability of ion-acoustic solitary waves in a magnetized plasma consisting of non-isothermal electrons

1998 ◽  
Vol 59 (2) ◽  
pp. 333-342 ◽  
Author(s):  
G. GHOSH ◽  
K. P. DAS
Keyword(s):  
Stability Analysis ◽  
Solitary Wave ◽  
Acoustic Waves ◽  
Solitary Wave Solution ◽  
Three Dimensional ◽  
Perturbation Expansion ◽  
Mkdv Equation ◽  
Magnetized Plasma ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

A stability analysis is performed for solitary ion-acoustic waves in a magnetized plasma in which the electrons are non-isothermal. Including the effect of ion drift velocity and magnetic perturbation, a three-dimensional mKdV equation is derived for ion-acoustic waves. The solitary-wave solution of this equation is found to have a sech4 profile. A stability analysis of this solitary wave is performed using the small-k perturbation expansion method of Rowlands and Infeld. A condition for the onset of instability is obtained. The growth rate of the instability is found to attain a maximum for perturbations in the plane perpendicular to the direction of propagation of the solitary wave.

Sign in / Sign up

Export Citation Format

Share Document