scholarly journals Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Salah El-Labany ◽  
Wael eltaibany ◽  
Nabila Elbedwehy ◽  
Nora El-Shafeay
Keyword(s):  
Acoustic Waves ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Warm Plasma

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.

Weakly relativistic effect on the modulation of nonlinear ion-acoustic waves in a warm plasma

1995 ◽  
Vol 54 (3) ◽  
pp. 295-308 ◽  
Author(s):  
S. K. El-Labany
Keyword(s):  
Perturbation Theory ◽  
Acoustic Waves ◽  
Relativistic Effect ◽  
Type Equation ◽  
Oscillatory Solution ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Ion Density ◽  
Ion Acoustic ◽  
Warm Plasma

The derivative expansion perturbation method is applied to investigate the modulation of nonlinear ion-acoustic waves in a weakly relativistic warm plasma. At the second order of perturbation theory, a nonlinear Schrödingertype equation for the complex amplitude of the perturbed ion density is obtained. The coefficients in this equation show that the condition of modulational stability is modified by the relativistic effect as well as by the finite ion temperature. The association between the small-wavenumber limit of the nonlinear Schrödinger-type equation and the oscillatory solution of the Korteweg-de Vries equation obtained by reductive perturbation theory is considered. Different limits are considered in order to compare with previous work.

Nonlinear ion acoustic waves in a quantum degenerate warm plasma with dust grains

2011 ◽  
Vol 37 (1) ◽  
pp. 64-74 ◽  
Author(s):  
A. E. Dubinov ◽  
D. Yu. Kolotkov ◽  
M. A. Sazonkin
Keyword(s):  
Acoustic Waves ◽  
Dust Grains ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Warm Plasma

Modulational instability of ion-acoustic waves in a warm plasma

2002 ◽  
Vol 11 (11) ◽  
pp. 1184-1187 ◽  
Author(s):  
Xue Ju-Kui ◽  
Duan Wen-Shan ◽  
Lang He
Keyword(s):  
Acoustic Waves ◽  
Modulational Instability ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Warm Plasma

Contribution of higher-order nonlinearity to nonlinear ion-acoustic waves in a weakly relativistic warm plasma. Part 1. Isothermal case

1993 ◽  
Vol 50 (3) ◽  
pp. 495-504 ◽  
Author(s):  
S. K. El-Labany
Keyword(s):  
Perturbation Theory ◽  
Acoustic Waves ◽  
Type Equation ◽  
Higher Order ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Warm Plasma ◽  
Relativistic Parameter ◽  
Renormalization Method ◽  
Parameter Dependent

The contribution of higher-order nonlinearity to nonlinear ion-acoustic waves in a weakly relativistic plasma consisting of warm ion-fluid and hot isothermal electrons is investigated using reductive perturbation theory. A Korteweg-de Vries-type equation, with temperature- and relativistic-parameter-dependent coefficients is obtained. The renormalization method is applied to the equations obtained from the different orders of perturbation theory to obtain a stationary solution. Relativistic cold and non-relativistic warm plasma limits are considered in order to make comparisons with previous results.

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