Finite-amplitude ion-acoustic solitons in weakly inhomogeneous plasmas

1985 ◽  
Vol 28 (8) ◽  
pp. 2375 ◽  
Author(s):  
H. H. Kuehl ◽  
K. Imen
1985 ◽  
Vol 33 (2) ◽  
pp. 237-248 ◽  
Author(s):  
Y. Nakamura ◽  
J. L. Ferreira ◽  
G. O. Ludwig

Ion-acoustic solitons in a three-component plasma which consists of electrons and positive and negative ions have been investigated experimentally. When the concentration of negative ions is smaller than a certain value, positive or compressive solitons are observed. At the critical concentration, a broad pulse of small but finite amplitude propagates without changing its shape. When the concentration is larger than this value, negative or rarefactive solitons are excited. The velocity and the width of these solitons are measured and compared with predictions of the Korteweg-de Vries equation which takes the negative ions and the ion temperature into consideration. Head-on and overtaking collisions of the rarefactive solitons have been observed to show that the solitons are not affected by these collisions.


2010 ◽  
Vol 76 (3-4) ◽  
pp. 409-418 ◽  
Author(s):  
A. A. MAMUN ◽  
K. S. ASHRAFI ◽  
M. G. M. ANOWAR

AbstractThe dust ion-acoustic solitary waves (SWs) in an unmagnetized dusty adiabatic electronegative plasma containing inertialess adiabatic electrons, inertial single charged adiabatic positive and negative ions, and stationary arbitrarily (positively and negatively) charged dust have been theoretically studied. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation which admits an SW solution. The combined effects of the adiabaticity of plasma particles, inertia of positive or negative ions, and presence of positively or negatively charged dust, which are found to significantly modify the basic features of small but finite-amplitude dust-ion-acoustic SWs, are explicitly examined. The implications of our results in space and laboratory dusty electronegative plasmas are briefly discussed.


1980 ◽  
Vol 45 (19) ◽  
pp. 1565-1569 ◽  
Author(s):  
Y. Nakamura ◽  
M. Ooyama ◽  
T. Ogino

2017 ◽  
Vol 43 (2) ◽  
pp. 212-217
Author(s):  
Dong-Ning Gao ◽  
Yang Yang ◽  
Qiang Yan ◽  
Xiao-Yun Wang ◽  
Wen-Shan Duan

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.


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