Higher-order contributions to ion-acoustic solitary waves in a multicomponent plasma consisting of warm ions and two-component nonisothermal electrons

1995 ◽  
Vol 51 (5) ◽  
pp. 4796-4803 ◽  
Author(s):  
K. P. Das ◽  
S. R. Majumdar ◽  
S. N. Paul
Keyword(s):  
Solitary Waves ◽  
Higher Order ◽  
Multicomponent Plasma ◽  
Two Component ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

Higher-Order Nonlinear Effects on Wave Structures in a Multispecies Plasma with Nonisothermal Electrons

2010 ◽  
Vol 65 (4) ◽  
pp. 315-328 ◽  
Author(s):  
Tarsem Singh Gill ◽  
Parveen Bala ◽  
Harvinder Kaur
Keyword(s):  
Solitary Waves ◽  
Kdv Equation ◽  
Negative Ions ◽  
Nonlinear Effects ◽  
Higher Order ◽  
Relative Temperature ◽  
Generalized Kdv Equation ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Fast Ion

In the present investigation, we have studied ion-acoustic solitary waves in a plasma consisting of warm positive and negative ions and nonisothermal electron distribution. We have used reductive perturbation theory (RPT) and derived a dispersion relation which supports only two ion-acoustic modes, viz. slow and fast. The expression for phase velocities of these modes is observed to be a function of parameters like nonisothermality, charge and mass ratio, and relative temperature of ions. A modified Korteweg-de Vries (KdV) equation with a (1+1/2) nonlinearity, also known as Schamel-mKdV model, is derived. RPT is further extended to include the contribution of higher-order terms. The results of numerical computation for such contributions are shown in the form of graphs in different parameter regimes for both, slow and fast ion-acoustic solitary waves having several interesting features. For the departure from the isothermally distributed electrons, a generalized KdV equation is derived and solved. It is observed that both rarefactive and compressive solitons exist for the isothermal case. However, nonisothermality supports only the compressive type of solitons in the given parameter regime.

scholarly journals Characteristics of the Solitary Waves in Multicomponent Plasmas

1990 ◽  
Vol 43 (1) ◽  
pp. 65 ◽  
Author(s):  
GC Das ◽  
B Karmakar
Keyword(s):  
Solitary Waves ◽  
Charged Particles ◽  
Physical Behaviour ◽  
Multicomponent Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

We have investigated ion-acoustic solitary waves in a multicomponent plasma. The study shows an interaction of the negatively charged particles with the solitary waves, due to which interesting physical behaviour of the solitary waves is observed. Moreover, the isothermality and the non-isothermality of the plasma exhibit different soliton-type solutions and a transition of the soliton's behaviour can be shown through the changes of the non-isothermality in the plasma.

On the study of ion-acoustic solitary waves and double-layers in a drift multicomponent plasma with electron-inertia

Pramana ◽  
2003 ◽  
Vol 60 (6) ◽  
pp. 1217-1233 ◽  
Author(s):  
S. N. Paul ◽  
S. Chattopadhyaya ◽  
S. K. Bhattacharya ◽  
B. Bera
Keyword(s):  
Solitary Waves ◽  
Double Layers ◽  
Electron Inertia ◽  
Multicomponent Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

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.

scholarly journals The collisions of two ion acoustic solitary waves in a magnetized nonextensive plasma

Open Physics ◽  
2014 ◽  
Vol 12 (11) ◽  
Author(s):  
Emad El-Shamy ◽  
Mouloud Tribeche ◽  
Wael El-Taibany
Keyword(s):  
Solitary Waves ◽  
Negative Ions ◽  
Phase Shifts ◽  
Magnetized Plasma ◽  
Nonextensive Electrons ◽  
Oblique Collision ◽  
Multicomponent Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Analytical Phase

AbstractUsing the extended Poincaré-Lighthill-Kuo (EPLK) method, the interaction between two ion acoustic solitary waves (IASWs) in a multicomponent magnetized plasma (including Tsallis nonextensive electrons) has been theoretically investigated. The analytical phase shifts of the two solitary waves after interaction are estimated. The proposed model leads to rarefactive solitons only. The effects of colliding angle, ratio of number densities of (positive/negative) ions species to the density of nonextensive electrons, ion-to-electron temperature ratio, mass ratio of the negative-to-positive ions and the electron nonextensive parameter on the phase shifts are investigated numerically. The present results show that these parameters have strong effects on the phase shifts and trajectories of the two IASWs after collision. Evidently, this model is helpful for interpreting the propagation and the oblique collision of IASWs in magnetized multicomponent plasma experiments and space observations.

Effects of higher order contribution and of ion temperature on ion-acoustic solitary waves

1979 ◽  
Vol 57 (3) ◽  
pp. 490-495 ◽  
Author(s):  
C. S. Lai
Keyword(s):  
Solitary Waves ◽  
Stationary Solutions ◽  
Higher Order ◽  
Reductive Perturbation Method ◽  
Inhomogeneous Equation ◽  
Ion Temperature ◽  
Coupled Equations ◽  
Basic Set ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

The combined effects of ion temperature and higher order corrections on ion-acoustic solitary waves are studied on the basis of the reductive perturbation method. The basic set of fluid equations for warm-ion fluid are reduced to the renormalized warm-ion Korteweg – de Vries equation for the first-order perturbed potential and a renormalized linear inhomogeneous equation for the second-order perturbed potential. Stationary solutions of the coupled equations are obtained, and the velocity and width of solitons calculated are in agreement with the experimental observation.

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