scholarly journals Stringent limitations on reductive perturbation studies of nonplanar acoustic solitons in plasmas

2016 ◽  
Vol 23 (6) ◽  
pp. 060801 ◽  
Author(s):  
Frank Verheest ◽  
Manfred A. Hellberg
Keyword(s):  
Reductive Perturbation

scholarly journals Reductive Perturbation Approach to the Fluctuation

1975 ◽  
Vol 54 (2) ◽  
pp. 585-587 ◽  
Author(s):  
A. Ito ◽  
T. Ohta ◽  
H. Mashiyama
Keyword(s):  
Perturbation Approach ◽  
Reductive Perturbation

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.

Localized coherent nonlinear wave structures in dusty plasma with non-thermal ions

2007 ◽  
Vol 73 (6) ◽  
pp. 921-932 ◽  
Author(s):  
TARSEM SINGH GILL ◽  
CHANCHAL BEDI ◽  
NARESHPAL SINGH SAINI ◽  
HARVINDER KAUR
Keyword(s):  
Perturbation Method ◽  
Solitary Waves ◽  
Vries Equation ◽  
Thermal Parameter ◽  
Reductive Perturbation Method ◽  
Double Layers ◽  
Dust Charge ◽  
Dust Acoustic Solitary Waves ◽  
Reductive Perturbation ◽  
Dust Acoustic

AbstractIn the present research paper, the characteristics of dust-acoustic solitary waves (DASWs) and double layers (DLs) are studied. Ions are treated as non-thermal and variable dust charge is considered. The Korteweg–de Vries equation is derived using a reductive perturbation method. It is noticed that compressive solitons are obtained up to a certain range of relative density δ (=ni0/ne0) beyond which rarefactive solitons are observed. The study is further extended to investigate the possibility of DLs. Only compressive DLs are permissible. Both DASWs and DLs are sensitive to variation of the non-thermal parameter.

scholarly journals Collision-less shocks and solitons in dense laser-produced Fermi plasma

2020 ◽  
Vol 38 (1) ◽  
pp. 25-38
Author(s):  
J. Goswami ◽  
S. Chandra ◽  
J. Sarkar ◽  
S. Chaudhuri ◽  
B. Ghosh
Keyword(s):  
Acoustic Waves ◽  
Perturbation Technique ◽  
Reductive Perturbation Method ◽  
Viscous Force ◽  
Quantum Plasma ◽  
Linear Dispersion ◽  
Laser Plasma Interaction ◽  
Reductive Perturbation ◽  
Solitary Structures ◽  
Electron Acoustic

AbstractThe theoretical investigation of shocks and solitary structures in a dense quantum plasma containing electrons at finite temperature, nondegenerate cold electrons, and stationary ions has been carried out. A linear dispersion relation is derived for the corresponding electron acoustic waves. The solitary structures of small nonlinearity have been studied by using the standard reductive perturbation method. We have considered collisions to be absent, and the shocks arise out of viscous force. Furthermore, with the help of a standard reductive perturbation technique, a KdV–Burger equation has been derived and analyzed numerically. Under limiting cases, we have also obtained the KdV solitary profiles and studied the parametric dependence. The results are important in explaining the many phenomena of the laser–plasma interaction of dense plasma showing quantum effects.

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