scholarly journals Cylindrical and Spherical Solitons at the Critical Density of Negative Ions in a Generalised Multicomponent Plasma

1991 ◽  
Vol 44 (5) ◽  
pp. 523 ◽  
Author(s):  
GC Das ◽  
Kh Ibohanbi Singh
Keyword(s):  
Solitary Wave ◽  
Acoustic Waves ◽  
Critical Density ◽  
Negative Ions ◽  
Ion Acoustic Waves ◽  
Multicomponent Plasma ◽  
Laboratory Plasmas ◽  
Ion Acoustic ◽  
Geometrical Effects

Propagation of nonlinear ion-acoustic waves in generalised multicomponent plasmas bounded by cylindrical and spherical geometries is investigated. At the critical density of negative ions where the nonlinearity of the Korteweg-deVries (K-dV) equation vanishes, the ion-acoustic solitary wave is described by a modified K-dV (mK-dV) equation. It is also emphasised that near the critical density neither the K-dV nor mK-dV equation is sufficient to describe fully the ion-acoustic waves and thus there is a need to derive a further mK-dV (fmK-dV) equation in the vicinity of this critical density. Furthermore, the amplitude variations of the K-dV and mK-dV solitons depending on the limitations of geometrical effects are also discussed, emphasising that the results could be of interest for diagnosing the soliton properties of laboratory plasmas.

scholarly journals Soliton Characteristics at the Critical Density of Negative Ions in Ion-beam Plasmas

1990 ◽  
Vol 43 (3) ◽  
pp. 319 ◽  
Author(s):  
GC Das ◽  
Kh lbohanbi Singh
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Ion Beam ◽  
Perturbation Technique ◽  
Critical Density ◽  
Negative Ions ◽  
Ion Acoustic Waves ◽  
Multicomponent Plasma ◽  
Laboratory Plasmas ◽  
Ion Acoustic

By using the reductive perturbation technique, ion-acoustic waves are studied in a generalised multicomponent plasma. The multiple ions modify drastically the characteristics of the solitary waves. In particular, the negative ions have a critical density at which the nonlinearity of the Korteweg-deVries (K-dV) equation vanishes and the ion-acoustic solitary wave is seen to be described by a modified K-dV (mK-dV) equation. Using higher order nonlinearities, the non-uniform transition of the K-dV equation to the mK-dV equation along with the conservation of the Sagdeev potential is described. Theoretical observations on the existence of the solitary waves, as expected, could be of interest in laboratory plasmas

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.

scholarly journals Nonlinear dynamical properties of solitary wave solutions for Zakharov-Kuznetsov equation in a multicomponent plasma

2021 ◽  
Vol 67 (6 Nov-Dec) ◽  
Author(s):  
U.M. Abdelsalam
Keyword(s):  
Solitary Wave ◽  
Acoustic Waves ◽  
Traveling Wave Solutions ◽  
Reductive Perturbation Method ◽  
Physical Parameters ◽  
Nonlinear Dynamical ◽  
Multicomponent Plasma ◽  
Wave Solutions ◽  
Laboratory Plasmas ◽  
Component Plasma

Using the reductive perturbation method, we have derived the Zakharov-Kuznetsov (ZK) equation for a multi-component plasma model consisting of electrons, positrons and the uid ions with positive and negative charges. The extended homogenous balance method has been applied to obtain the soliton solution in addition to many traveling wave solutions. various physical parameters have different effects on the profile of the solitary wave pulses which can show the propagation of the ion acoustic waves in laboratory plasmas and many astrophysical plasma systems as in Earth's ionosphere.

Effect of finite ion-temperature on ion-acoustic solitary waves in an inhomogeneous plasma

1981 ◽  
Vol 59 (6) ◽  
pp. 719-721 ◽  
Author(s):  
Bhimsen K. Shivamoggi
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Acoustic Waves ◽  
Inhomogeneous Plasma ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Weakly Nonlinear ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Velocity Of Propagation

The propagation of weakly nonlinear ion–acoustic waves in an inhomogeneous plasma is studied taking into account the effect of finite ion temperature. It is found that, whereas both the amplitude and the velocity of propagation decrease as the ion–acoustic solitary wave propagates into regions of higher density, the effect of a finite ion temperature is to reduce the amplitude but enhance the velocity of propagation of the solitary wave.

The optimum shielding around a test charge in plasmas containing two negative ions

2011 ◽  
Vol 77 (5) ◽  
pp. 663-673 ◽  
Author(s):  
W. M. MOSLEM ◽  
R. SABRY ◽  
P. K. SHUKLA
Keyword(s):  
Acoustic Waves ◽  
Potential Distribution ◽  
Negative Ions ◽  
New Materials ◽  
Oscillatory Potential ◽  
Charge Particle ◽  
Ion Acoustic Waves ◽  
Positive Ions ◽  
Test Charge ◽  
Ion Acoustic

AbstractThis paper focuses on the progress in understanding the shielding around a test charge in the presence of ion-acoustic waves in multispecies plasmas, whose constituents are positive ions, two negative ions, and Boltzmann distributed electrons. By solving the linearized Vlasov equation with Poisson equation, the Debye–Hückel screening potential and wakefield (oscillatory) potential distribution around a test charge particle are derived. It is analytically found that both the Debye–Hückel potential and the wakefield potential are significantly modified due to the presence of two negative ions. The present results might be helpful to understand and to form new materials from plasmas containing two negative ions such as Xe+ − F− − SF−6 and Ar+ − F− − SF−6 plasmas, as well as to tackle extension of the test charge problem in multinegative ions' coagulation/agglomeration.

scholarly journals Ion-acoustic waves in a complex plasma with negative ions

2003 ◽  
Vol 67 (3) ◽  
Author(s):  
S. V. Vladimirov ◽  
K. Ostrikov ◽  
M. Y. Yu ◽  
G. E. Morfill
Keyword(s):  
Acoustic Waves ◽  
Negative Ions ◽  
Ion Acoustic Waves ◽  
Complex Plasma ◽  
Ion Acoustic
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