Ion-acoustic solitons in a warm plasma including negative ions in the vicinity of critical density

1992 ◽  
Vol 197 (2) ◽  
pp. 289-297 ◽  
Author(s):  
S. K. el-Labany ◽  
A. Sheikh
2000 ◽  
Vol 63 (4) ◽  
pp. 343-353 ◽  
Author(s):  
S. K. EL-LABANY ◽  
S. A. EL-WARRAKI ◽  
W. M. MOSLEM

Cylindrical ion-acoustic solitons are investigated in a warm plasma with negative ions and multiple-temperature electrons through the derivation of a cylindrical Korteweg–de Vries equation using a reductive perturbation theory. The results are compared with those for the corresponding planar solitons.


1987 ◽  
Vol 37 (2) ◽  
pp. 322-322 ◽  
Author(s):  
S. G. Tagare

In the above mentioned paper, table 1 is incorrect and the correct version is given below. Thus the result which was there obtained, namely that the coefficient of the nonlinear term of the modified KdV equation becomes negative, is not correct and, in fact, the coefficient is always positive.


2013 ◽  
Vol 02 (01) ◽  
pp. 15-25 ◽  
Author(s):  
APPN Editorial Office

It is well known that multicomponent plasma with negative ions supports a number of wave modes such as ion-acoustic solitons described by the Kortewege-de Vries (KdV) equation, modified KdV solitons at critical density of negative ions and ion-acoustic envelop solitons described by nonlinear Schrödinger equation (NLSE). The NLSE which is equivalent to the mKdV equation is applicable in describing evolution of ion-acoustic wave in plasma at critical density of negative ions which becomes modulationaly unstable when the nonlinear co-efficient is negative.


1988 ◽  
Vol 39 (1) ◽  
pp. 71-79 ◽  
Author(s):  
Frank Verheest

Ion-acoustic solitons in a plasma with different adiabatic ion constituents and isothermal electrons are studied via a reductive perturbation method. The basic fluid equations then give rise to KdV or modified KdV equations, depending upon the relative ion densities. At critical densities, rarefactive and compressive fast ion-acoustic solitons are possible. Explicit stationary solutions are discussed in the special case of cold ions, in a plasma containing two species of negative ions and one of positive ions. The inclusion of heavier ions, even at low densities, increases the amplitudes of the critical solitons.


1992 ◽  
Vol 48 (2) ◽  
pp. 229-236 ◽  
Author(s):  
H. Yamada ◽  
Z. Yoshida

Sheath potential distributions in electrostatic plasmas including negative ions have been studied using the Bohm equation. Since the mean velocity of the negative ions is not necessarily negligible compared with their thermal velocity, the contribution from non-thermal negative ions has been considered. The Sagdeev potential has been introduced to consider structural instabilities of the Bohm system. Wavy solutions related to ion-acoustic solitons bifurcate from the monotone asymptotic Bohm sheath solutions. The solvability conditions have also been discussed for characteristic parameter such as the concentration of negative ions and the Mach numbers of positive and negative ions.


2004 ◽  
Vol 31 (1) ◽  
pp. 91-100 ◽  
Author(s):  
T. S. Gill ◽  
P. Bala ◽  
H. Kaur ◽  
N. S. Saini ◽  
S. Bansal ◽  
...  

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