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

1986 ◽  
Vol 36 (2) ◽  
pp. 301-312 ◽  
Author(s):  
S. G. Tagare
Keyword(s):  
Acoustic Wave ◽  
Vries Equation ◽  
Collisionless Plasma ◽  
Negative Ions ◽  
Ion Temperature ◽  
Ion Acoustic Wave ◽  
Basic Set ◽  
Ion Acoustic ◽  
De Vries ◽  
Ion Acoustic Solitons

Ion-acoustic solitons in a collisionless plasma with adiabatic positive and negative ions with equal ion temperature and isothermal electrons are studied by using the reductive perturbation method. The basic set of fluid equations is reduced for the fast ion-acoustic wave to the Korteweg–de Vries and modified Korteweg–de Vries equation and for the slow ion-acoustic wave to the Korteweg–de Vries equation. Stationary solutions of these equations are obtained and the effect of ion temperature on fast and slow ion-acoustic solitons is investigated.

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.

A two-dimensional ion acoustic solitary wave in a weakly relativistic plasma

1987 ◽  
Vol 38 (3) ◽  
pp. 439-444 ◽  
Author(s):  
Yasunori Nejoh
Keyword(s):  
Solitary Wave ◽  
Acoustic Wave ◽  
Relativistic Effect ◽  
Vries Equation ◽  
Solitary Wave Solution ◽  
Collisionless Plasma ◽  
Two Dimensional ◽  
Ion Acoustic Wave ◽  
Ion Acoustic ◽  
Weakly Relativistic Plasma

The two-dimensional Korteweg-de Vries equation is first derived for a weakly relativistic ion acoustic wave propagating in a collisionless plasma. We show that the relativistic effect greatly influences the phase velocity, the amplitude and the width of a solitary wave solution, and that the presence of streaming ions gives rise to the formation of a precursor. We also discuss three limiting cases of the present results.

Modified Korteweg—de Vries ion-acoustic solitons in a plasma

1985 ◽  
Vol 34 (3) ◽  
pp. 401-415 ◽  
Author(s):  
Y. Nakamura ◽  
I. Tsukabayashi
Keyword(s):  
Acoustic Waves ◽  
Vries Equation ◽  
Critical Concentration ◽  
Soliton Solutions ◽  
Negative Ions ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
De Vries ◽  
Component Plasma ◽  
Ion Acoustic Solitons

Propagation of nonlinear ion-acoustic waves in a multi-component plasma with negative ions is investigated experimentally. At a critical concentration of negative ions, both compressive and rarefactive solitons are observed. The velocities and widths of the solitons are measured and compared with the soliton solutions of the modified Korteweg–de Vries equation and of the pseudopotential method. The modified Korteweg–de Vries equation is solved numerically to investigate overtaking collisions of a positive and a negative soliton. Fluid equations together with Poisson's equation are numerically integrated to simulate their head-on collisions.

scholarly journals Ion Acoustic Peregrine Soliton Under Enhanced Dissipation

2021 ◽  
Vol 8 ◽  
Author(s):  
Pallabi Pathak
Keyword(s):  
Acoustic Wave ◽  
Negative Ions ◽  
Landau Damping ◽  
Ion Acoustic Wave ◽  
Multicomponent Plasma ◽  
Plasma Device ◽  
Ion Acoustic ◽  
Damping Rate ◽  
Double Plasma Device ◽  
Spatial Damping

The effect of enhanced Landau damping on the evolution of ion acoustic Peregrine soliton in multicomponent plasma with negative ions has been investigated. The experiment is performed in a multidipole double plasma device. To enhance the ion Landau damping, the temperature of the ions is increased by applying a continuous sinusoidal signal of frequency close to the ion plasma frequency ∼1 MHz to the separation grid. The spatial damping rate of the ion acoustic wave is measured by interferometry. The damping rate of ion acoustic wave increases with the increase in voltage of the applied signal. At a higher damping rate, the Peregrine soliton ceases to show its characteristics leaving behind a continuous envelope.

Cylindrical ion-acoustic waves in a warm multicomponent plasma

2000 ◽  
Vol 63 (4) ◽  
pp. 343-353 ◽  
Author(s):  
S. K. EL-LABANY ◽  
S. A. EL-WARRAKI ◽  
W. M. MOSLEM
Keyword(s):  
Perturbation Theory ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Negative Ions ◽  
Ion Acoustic Waves ◽  
Multicomponent Plasma ◽  
Reductive Perturbation ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Warm Plasma

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.

Ion-acoustic wave in relativistic nonisothermal plasma with negative ions

1993 ◽  
Vol 32 (8) ◽  
pp. 1465-1474 ◽  
Author(s):  
S. Chakraborty ◽  
A. Roy Chowdhury ◽  
S. N. Paul
Keyword(s):  
Acoustic Wave ◽  
Negative Ions ◽  
Ion Acoustic Wave ◽  
Ion Acoustic ◽  
Nonisothermal Plasma

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.

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