Ion-acoustic solitons in plasmas with two-temperature ions

2008 ◽  
Vol 15 (6) ◽  
pp. 062307 ◽  
Author(s):  
Manfred A. Hellberg ◽  
Frank Verheest
Keyword(s):  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Two Temperature

Third-order contributions to ion-acoustic solitons in a plasma with two types of cold positive ions and two-temperature non-isothermal electrons

2000 ◽  
Vol 64 (3) ◽  
pp. 297-308 ◽  
Author(s):  
S. R. MAJUMDAR ◽  
S. N. PAUL ◽  
K. P. DAS
Keyword(s):  
Solitary Wave ◽  
Solitary Wave Solution ◽  
Reductive Perturbation Method ◽  
Third Order ◽  
Positive Ions ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Ion Acoustic Soliton ◽  
Pseudo Potential ◽  
Two Temperature

Higher-order nonlinear and dispersive effects on ion-acoustic solitons in a plasma consisting of two types of cold positive ions and two-temperature non-isothermal electrons are studied using a reductive perturbation method. An integrated form of the basic sets of fluid equations consisting of two types of positive ions and two types of non-isothermal electrons is derived in terms of a pseudo-potential. A perturbation solution of this equation is obtained by the Bogoliubov–Mitropolsky method. At the lowest order, we obtain a modified Korteweg–de Vries solitary-wave solution, which has a sech4 profile. Calculations are carried out at the next two higher orders. The secularity-removing condition at each order gives a correction to the velocity of the solitary wave at the corresponding order. The variations of Mach number and width of the ion-acoustic soliton with amplitude at each order are shown graphically for plasmas with H+ and He+ or with He+ and Ar+ ions, with two-temperature non-isothermal electrons.

Observation of Spherical Ion-Acoustic Solitons

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

Effect of dust size distribution on ion-acoustic solitons in dusty plasmas with different dust grains

2017 ◽  
Vol 43 (2) ◽  
pp. 212-217
Author(s):  
Dong-Ning Gao ◽  
Yang Yang ◽  
Qiang Yan ◽  
Xiao-Yun Wang ◽  
Wen-Shan Duan
Keyword(s):  
Size Distribution ◽  
Dusty Plasmas ◽  
Dust Grains ◽  
Dust Size Distribution ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons

Ion-acoustic solitons in multi-component plasmas including negative ions at critical densities

1988 ◽  
Vol 39 (1) ◽  
pp. 71-79 ◽  
Author(s):  
Frank Verheest
Keyword(s):  
Negative Ions ◽  
Stationary Solutions ◽  
Reductive Perturbation Method ◽  
Positive Ions ◽  
Kdv Equations ◽  
Basic Fluid ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Modified Kdv Equations ◽  
Fast Ion

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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