Finite Ion Temperature Effects on Strongly Non-Linear Ion Acoustic Solitons

1978 ◽  
Vol 18 (4) ◽  
pp. 225-229 ◽  
Author(s):  
K. Baumgärtel
Keyword(s):  
Temperature Effects ◽  
Ion Temperature ◽  
Ion Acoustic ◽  
Non Linear ◽  
Ion Acoustic Solitons

Linear and nonlinear obliquely propagating ion-acoustic waves in magnetized negative ion plasma with non-thermal electrons

2013 ◽  
Vol 79 (5) ◽  
pp. 893-908 ◽  
Author(s):  
M. K. MISHRA ◽  
S. K. JAIN
Keyword(s):  
Acoustic Waves ◽  
Kdv Equation ◽  
Negative Ions ◽  
Ion Concentration ◽  
Negative Ion ◽  
Slow Mode ◽  
Ion Temperature ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Ion Species

AbstractIon-acoustic solitons in magnetized low-β plasma consisting of warm adiabatic positive and negative ions and non-thermal electrons have been studied. The reductive perturbation method is used to derive the Korteweg–de Vries (KdV) equation for the system, which admits an obliquely propagating soliton solution. It is found that due to the presence of finite ion temperature there exist two modes of propagation, namely fast and slow ion-acoustic modes. In the case of slow-mode if the ratio of temperature to mass of positive ion species is lower (higher) than the negative ion species, then there exist compressive (rarefactive) ion-acoustic solitons. It is also found that in the case of slow mode, on increasing the non-thermal parameter (γ) the amplitude of the compressive (rarefactive) soliton decreases (increases). In fast ion-acoustic mode the nature and characteristics of solitons depend on negative ion concentration. Numerical investigation in case of fast mode reveals that on increasing γ, the amplitude of compressive (rarefactive) soliton increases (decreases). The width of solitons increases with an increase in non-thermal parameters in both the modes for compressive as well as rarefactive solitons. There exists a value of critical negative ion concentration (αc), at which both compressive and rarefactive ion-acoustic solitons appear as described by modified KdV soliton. The value of αc decreases with increase in γ.

scholarly journals Experiments on ion-acoustic rarefactive solitons in a multi-component plasma with negative ions

1985 ◽  
Vol 33 (2) ◽  
pp. 237-248 ◽  
Author(s):  
Y. Nakamura ◽  
J. L. Ferreira ◽  
G. O. Ludwig
Keyword(s):  
Vries Equation ◽  
Critical Concentration ◽  
Negative Ions ◽  
Finite Amplitude ◽  
Ion Temperature ◽  
Ion Acoustic ◽  
De Vries ◽  
Component Plasma ◽  
Ion Acoustic Solitons

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.

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.

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.

scholarly journals Effect of ion temperature on ion-acoustic solitons in a two-ion warm plasma with adiabatic positive and negative ions and isothermal electrons

1987 ◽  
Vol 37 (2) ◽  
pp. 322-322 ◽  
Author(s):  
S. G. Tagare
Keyword(s):  
Nonlinear Term ◽  
Kdv Equation ◽  
Negative Ions ◽  
Ion Temperature ◽  
Correct Version ◽  
Modified Kdv Equation ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Warm Plasma ◽  
Image Position

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.

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