Modified Korteweg – de Vries solitons in a dusty plasma with electron inertia and drifting effect of electrons

2013 ◽  
Vol 91 (10) ◽  
pp. 839-843 ◽  
Author(s):  
R. Das ◽  
K. Karmakar
Keyword(s):  
Dusty Plasma ◽  
Drift Velocity ◽  
Mkdv Equation ◽  
Electron Inertia ◽  
Ion Acoustic ◽  
De Vries ◽  
Ion Acoustic Solitons ◽  
Unmagnetized Plasma

The formation of dust ion acoustic solitons in an unmagnetized plasma with the electrons’ drift velocity has been investigated through the modified Korteweg – de Vries (mKdV) equation. In this case only compressive solitons are found to exist. The mKdV solitons are established to exist in two new ranges of drift velocity [Formula: see text] for [Formula: see text] and [Formula: see text].

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).

scholarly journals Dust ion acoustic solitons in a complex dusty plasma system with an adiabatic state

Heliyon ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. e05373
Author(s):  
Kazi Asraful Islam ◽  
F. Deeba ◽  
Md. Kamal-Al-Hassan
Keyword(s):  
Dusty Plasma ◽  
Plasma System ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Dusty Plasma System ◽  
Adiabatic State

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.

scholarly journals Ion-acoustic solitons in Bi-Ion dusty plasma

2008 ◽  
Vol 34 (11) ◽  
pp. 955-962 ◽  
Author(s):  
V. V. Prudskikh
Keyword(s):  
Dusty Plasma ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons
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