Kadomtsev–Petviashivili equation for an ion‐acoustic soliton in a collisionless weakly relativistic plasma with finite ion temperature

1993 ◽  
Vol 5 (7) ◽  
pp. 2093-2097 ◽  
Author(s):  
Sanjay Singh ◽  
Tadao Honzawa
Keyword(s):  
Relativistic Plasma ◽  
Ion Temperature ◽  
Ion Acoustic ◽  
Ion Acoustic Soliton ◽  
Weakly Relativistic Plasma

A study of ion-acoustic solitons and double layers in a multispecies collisionless weakly relativistic plasma

2005 ◽  
Vol 71 (1) ◽  
pp. 23-34 ◽  
Author(s):  
TARSEM SINGH GILL ◽  
HARVINDER KAUR ◽  
NARESHPAL SINGH SAINI
Keyword(s):  
Kdv Equation ◽  
Collisionless Plasma ◽  
Relativistic Plasma ◽  
Double Layers ◽  
Hot Electron ◽  
Ion Temperature ◽  
Ion Acoustic ◽  
De Vries ◽  
Ion Acoustic Solitons ◽  
Weakly Relativistic Plasma

The effect on the propagation of ion-acoustic solitons and double layers has been studied in collisionless weakly relativistic plasma consisting of two-electron temperature with isothermal electrons and finite ion temperature. The Korteweg de-Vries (KdV) equation is derived for ion-acoustic solitons propagating in a collisionless plasma. This equation is solved in a stationary frame to obtain the expression for soliton phase velocity, soliton width and peak soliton amplitude. It is observed that these quantities are significantly influenced by the relativistic effect, ion temperature, low-temperature electron density and ratio of cold to hot electron temperatures. Many features expected from hot ion theory and two species electron plasmas automatically emerge. The analysis is further extended to higher order nonlinearity and modified Korteweg de-Vries (mKdV) equation is derived. Even though compressive and rarefactive ion-acoustic solitons are obtained, only rarefactive ion-acoustic double layers are obtained in the present investigation.

Ion acoustic soliton in weakly relativistic magnetized electron–positron–ion plasma

2009 ◽  
Vol 87 (8) ◽  
pp. 861-866 ◽  
Author(s):  
Tarsem Singh Gill ◽  
Amandeep Singh Bains ◽  
Narsehpal Singh Saini
Keyword(s):  
Vries Equation ◽  
Reductive Perturbation Method ◽  
Ion Temperature ◽  
Ion Acoustic Wave ◽  
Ion Plasma ◽  
Electron Positron ◽  
Relativistic Factor ◽  
Ion Acoustic ◽  
Warm Plasma ◽  
Ion Acoustic Soliton

A theoretical investigation was made for the ion acoustic wave in a weakly relativistic magnetized electron-positron-ion warm plasma. A Korteweg-de vries equation (KdV) is derived by using a standard reductive perturbation method. It is found that the presence of ion temperature (σ), ratios of positron-to-electron density (β), electron-to-positron temperature (α), and relativistic factor (Ur) significantly modify solitonic behavior. The authors observed that these parameters considerably change the amplitude and width of the solitary wave.

Arbitrary-amplitude theory of ion-acoustic solitons in warm multi-fluid plasmas

1989 ◽  
Vol 41 (2) ◽  
pp. 341-353 ◽  
Author(s):  
S. Baboolal ◽  
R. Bharuthram ◽  
M. A. Hellberg
Keyword(s):  
Stationary Wave ◽  
Ion Concentration ◽  
Ion Temperature ◽  
Ion Plasma ◽  
Numerical Theory ◽  
Ion Acoustic ◽  
Wave Forms ◽  
Ion Acoustic Solitons ◽  
Arbitrary Amplitude ◽  
Ion Acoustic Soliton

A recently described numerical theory for obtaining the Sagdeev and real potential profiles of stationary wave forms in a plasma consisting of double-Maxwellian electrons and two or more species of warm ions is used for the study of solitons in such a plasma. The effects of ion temperature and light-ion concentration on rarefactive ion-acoustic soliton profiles in a double-ion plasma obtained with this large-amplitude theory are compared with those predicted from a Korteweg–de Vries equation. Application of the theory to the work of Nakamura and co-workers is discussed, and we draw attention to ion thermal effects.

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