Negative ion-acoustic solitons in a two-component magnetized plasma

1988 ◽  
Vol 31 (6) ◽  
pp. 1549 ◽  
Author(s):  
L. T. Song ◽  
L. C. Lee ◽  
L. Huang
Keyword(s):  
Magnetized Plasma ◽  
Negative Ion ◽  
Two Component ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons

Obliquely propagating ion-acoustic solitons in a multi-component magnetized plasma with negative ions

1994 ◽  
Vol 52 (3) ◽  
pp. 409-429 ◽  
Author(s):  
M. K. Mishra ◽  
R. S. Chhabra ◽  
S. R. Sharma
Keyword(s):  
Soliton Solution ◽  
Kdv Equation ◽  
Critical Concentration ◽  
Negative Ions ◽  
Magnetized Plasma ◽  
Negative Ion ◽  
Fast Mode ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Ion Species

Oblique propagation of ion-acoustic solitons in a magnetized low-β plasma consisting of warm positive and negative ion species along with hot electrons is studied. Using the reductive perturbation method, a KdV equation is derived for the system, which admits an obliquely propagating soliton solution. It is found that if the ions have finite temperatures then there exist two types of modes, namely slow and fast ion-acoustic modes. The parameter determining the nature of soliton (i.e. whether the system will support compressive or rarefactive solitons) is different for slow and fast modes. For the slow mode the parameter is the relative temperature of the two ion species, whereas for the fast mode it is the relative concentraion of the two ion species. For the fast mode it is found that there is a critical value of the negative-ion concentration below which only compressive solitons exist and above which rarefactive solitons exist. To discuss the soliton solution at the critical concentration, a modified KdV equation is derived. It is found that at the critical concentration of negative ions compressive and rarefactive solitons co-exist. The effects of temperature of different ion species, angle of obliqueness and magnetization on the characteristics of the solitons are discussed in detail.

Ion-acoustic solitons in magnetized multi-component plasmas including negative ions

1989 ◽  
Vol 41 (1) ◽  
pp. 139-155 ◽  
Author(s):  
K. P. Das ◽  
Frank Verheest
Keyword(s):  
Kdv Equation ◽  
Nonlinear Coefficient ◽  
Perturbation Expansion ◽  
Negative Ions ◽  
Magnetized Plasma ◽  
Three Dimensions ◽  
Negative Ion ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Ion Species

A study is made of ion-acoustic solitons in a low-β magnetized plasma consisting of any number of adiabatic positive and negative ion species in addition to the presence of isothermal electrons. A KdV equation in three dimensions or KdV-ZK equation is derived. This equation admits comprehensive or rarefactive solitons propagating in any oblique direction with respect to the direction of the external magnetic field, depending on the density of the negative ion species. When the nonlinear coefficient of this equation vanishes, the nonlinear ion-acoustic wave is described by a modified KdV equation in three dimensions. This equation is also derived and its solitary-wave solutions are discussed. Both compressive and rarefactive solitons are possible. Finally, the three-dimensional stability of these solitons is investigated by the small-k perturbation expansion method of Rowlands and Infeld. Stability criteria and growth rates of instabilities are derived.

Face-to-Face Collisions of Bright and Dark Ion Acoustic Solitons in Superthermal Electrons for Different Geometrical Configurations

2018 ◽  
Vol 73 (10) ◽  
pp. 893-904 ◽  
Author(s):  
E.F. El-Shamy ◽  
N.A. El-Bedwehy ◽  
M. Shokry ◽  
S.K. El-Labany
Keyword(s):  
Phase Shift ◽  
Negative Ion ◽  
Superthermal Electrons ◽  
Face To Face ◽  
Laboratory Plasmas ◽  
Ion Acoustic ◽  
De Vries ◽  
The Face ◽  
Ion Acoustic Solitons ◽  
Non Linear Propagation

AbstractThe face-to-face collision of ion acoustic solitons (IASs) in superthermal plasmas composed of positive and negative ion fluids and superthermal electrons is investigated for different geometrical configurations. For the generic case, the extended Poincaré-Lighthill-Kuo (EPLK) analysis is employed to obtain the extended Korteweg-de Vries (EKdV) equations and phase shift equations. The non-linear propagation and the face-to-face collision of bright and dark IASs are studied. In addition, when the concentration of ion reaches the critical value, the EPLK method is applied to obtain the modified Korteweg-de Vries (mKdV) equations and the phase shift relations, which govern the excitation and the face-to-face collision of bright and dark IASs. Appropriately, the effects of several parameters such as the electron concentration, the superthermality of electrons and the diversity in the system’s geometry under consideration on the trajectories of IASs after the collision are discussed. Numerical calculations lead to some highlights on the properties of bright and dark IASs (e.g. in laboratory plasmas such as laser–matter/plasma interaction experiments and in astrophysical environments such as lower part of magnetosphere).

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 Электрические токи, индуцированные в плазме ионно-звуковыми солитонами: учет захваченных электронов

2018 ◽  
Vol 44 (11) ◽  
pp. 87
Author(s):  
Ф.М. Трухачев ◽  
А.В. Томов ◽  
М.М. Могилевский ◽  
Д.В. Чугунин
Keyword(s):  
Plasma Current ◽  
Experimental Equipment ◽  
Spatiotemporal Resolution ◽  
Effective Mechanism ◽  
Current Generation ◽  
Hydrodynamic Approximation ◽  
Current Pulses ◽  
Two Component ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons

AbstractThe currents induced by ion-acoustic solitons have been studied in a two-component magnetic–hydrodynamic approximation (MHD model) taking into account the trapped electrons. The solitons have been shown to excite unipolar nonpolar pulses of the ion and electron currents, and the established mechanisms of their excitation are. The spatiotemporal characteristics of the current pulses have been calculated, and the requirements for the spatiotemporal resolution of the experimental equipment necessary for detection of plasma currents induced by solitons have been determined. It has been shown that the solitons are the effective mechanism of plasma current generation.

Ion-acoustic solitons and shocks in negative ion-beam relativistic plasma

1998 ◽  
Vol 26 (3) ◽  
pp. 987-994 ◽  
Author(s):  
K.K. Mondal ◽  
S.N. Paul ◽  
A. Roychowdhury
Keyword(s):  
Ion Beam ◽  
Relativistic Plasma ◽  
Negative Ion ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons

Ion acoustic solitons and supersolitons in a magnetized plasma with nonthermal hot electrons and Boltzmann cool electrons

2014 ◽  
Vol 21 (8) ◽  
pp. 082304 ◽  
Author(s):  
O. R. Rufai ◽  
R. Bharuthram ◽  
S. V. Singh ◽  
G. S. Lakhina
Keyword(s):  
Magnetized Plasma ◽  
Hot Electrons ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons
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