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.

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.

Drift instability in a positive ion–negative ion plasma

2013 ◽  
Vol 79 (5) ◽  
pp. 949-952 ◽  
Author(s):  
M. ROSENBERG ◽  
R. L. MERLINO
Keyword(s):  
Negative Ions ◽  
Local Approximation ◽  
Magnetized Plasma ◽  
Negative Ion ◽  
Positive Ions ◽  
Ion Plasma ◽  
Drift Instability ◽  
Ion Species ◽  
Positive Ion ◽  
Linear Kinetic Theory

AbstractDrift wave instability in a magnetized plasma composed of positive ions and negative ions is considered using linear kinetic theory in the local approximation. We consider the case where the mass (temperature) of the negative ions is much larger (smaller) than that of the positive ions, and where the gyroradii of the two ion species are comparable. Weak collisional effects are taken into account. Application to possible laboratory parameters is discussed.

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

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.

Oblique collision of plane ion acoustic solitons in a multicomponent plasma with negative ions

1999 ◽  
Vol 61 (1) ◽  
pp. 151-159 ◽  
Author(s):  
H. BAILUNG ◽  
Y. NAKAMURA
Keyword(s):  
Negative Ions ◽  
Resonant Interaction ◽  
Ion Concentration ◽  
Negative Ion ◽  
Oblique Collision ◽  
Resonance Amplitude ◽  
Multicomponent Plasma ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Experimental Findings

The resonant interaction of compressive and rarefactive ion acoustic solitons is studied experimentally in a multicomponent plasma containing additional negative-ion species. With increasing concentration of negative ions, the resonance amplitude increases for compressive ion acoustic solitons when the angle of collision is fixed. When the negative-ion concentration is larger than a critical value, the rarefactive ion acoustic solitons undergo resonant interaction for a lower resonance amplitude. Theoretical predictions of the Korteweg–de Vries equation agree with experimental findings.

Highlights from the Asia Pacific Region

2013 ◽  
Vol 02 (01) ◽  
pp. 15-25 ◽  
Author(s):  
APPN Editorial Office
Keyword(s):  
Kdv Equation ◽  
Critical Density ◽  
Negative Ions ◽  
Mkdv Equation ◽  
Asia Pacific ◽  
Asia Pacific Region ◽  
Ion Acoustic Wave ◽  
Multicomponent Plasma ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons

It is well known that multicomponent plasma with negative ions supports a number of wave modes such as ion-acoustic solitons described by the Kortewege-de Vries (KdV) equation, modified KdV solitons at critical density of negative ions and ion-acoustic envelop solitons described by nonlinear Schrödinger equation (NLSE). The NLSE which is equivalent to the mKdV equation is applicable in describing evolution of ion-acoustic wave in plasma at critical density of negative ions which becomes modulationaly unstable when the nonlinear co-efficient is negative.

Cut-off conditions and existence domains for large-amplitude ion-acoustic solitons and double layers in fluid plasmas

1990 ◽  
Vol 44 (1) ◽  
pp. 1-23 ◽  
Author(s):  
S. Baboolal ◽  
R. Bharuthram ◽  
M. A. Hellberg
Keyword(s):  
Negative Ion ◽  
Double Layers ◽  
Sagdeev Potential ◽  
Ion Acoustic ◽  
Negative Ion Plasmas ◽  
Ion Acoustic Solitons ◽  
Arbitrary Amplitude ◽  
Ion Species ◽  
Positive Ion

It is shown how existence domains for arbitrary-amplitude ion-acoustic solitons and double layers are determined numerically by cut-off conditions on the corresponding Sagdeev potential. A two-electron-temperature model is considered, and in positive-ion plasmas the cut-off conditions are given in terms of the electron parameters, while for negative-ion plasmas such conditions are described in terms of parameters characterizing the role of the negative ion species.

Higher-order contributions to ion-acoustic solitary waves in a warm multicomponent plasma with an electron beam

2000 ◽  
Vol 63 (2) ◽  
pp. 139-155 ◽  
Author(s):  
W. M. MOSLEM
Keyword(s):  
Electron Beam ◽  
Solitary Waves ◽  
Kdv Equation ◽  
Negative Ions ◽  
Type Equation ◽  
Higher Order ◽  
Second Order ◽  
Negative Ion ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

Higher-order contributions in reductive perturbation theory are studied for small- but finite-amplitude ion-acoustic solitary waves in a warm plasma with negative-ion, positron and electron constituents traversed by a warm electron beam (with different temperatures and pressures). The basic set of fluid equations are reduced to a Korteweg–de Vries (KdV) equation for the first-order perturbed potential and a linear inhomogeneous KdV-type equation for the second-order perturbed potential. At the critical negative-ion density, the coefficient of the nonlinear term in the KdV equation vanishes. A new set of stretched coordinates is then used to derive a modified KdV equation and a linear inhomogeneous modified KdV-type equation at the critical density of negative ions for the second-order perturbed potential. Stationary solutions of the coupled equations, for both cases, are obtained using a renormalization method.

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