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

1982 ◽  
Vol 60 (4) ◽  
pp. 392-396 ◽  
Author(s):  
M. K. Kalita ◽  
S. Bujarbarua
Keyword(s):  
Acoustic Waves ◽  
Solitary Wave Solution ◽  
Reductive Perturbation Method ◽  
Electron Velocity ◽  
Nonlinear Propagation ◽  
Third Order ◽  
Ion Acoustic Waves ◽  
Electron Velocity Distribution ◽  
The Third ◽  
Ion Acoustic

Considering the electron velocity distribution far from Maxwellian, we have investigated the nonlinear propagation of ion acoustic waves in a plasma consisting of warm ions. The solitary wave solution has been obtained for this case retaining terms up to the third order in the usual reductive perturbation method.

Ion-acoustic shock waves in a degenerate dense plasma

2012 ◽  
Vol 79 (1) ◽  
pp. 65-68 ◽  
Author(s):  
M. S. ZOBAER ◽  
N. ROY ◽  
A. A. MAMUN
Keyword(s):  
Acoustic Waves ◽  
Dense Plasma ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Ion Acoustic Waves ◽  
Plasma System ◽  
Ion Acoustic ◽  
Astrophysical Objects ◽  
Basic Features ◽  
Ion Acoustic Shock Waves

AbstractA theoretical investigation on the nonlinear propagation of ion-acoustic waves in a degenerate dense plasma has been made by employing the reductive perturbation method. The Burger's equation has been derived, and numerically analyzed. The basic features of electrostatic shock structures have been examined. It has been shown that the plasma system under consideration supports the propagation of electrostatic shock structures. The implications of our results (obtained from this investigation) in compact astrophysical objects have been briefly discussed.

scholarly journals Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
M. G. Hafez ◽  
M. R. Talukder ◽  
M. Hossain Ali
Keyword(s):  
Acoustic Waves ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Two Dimensional ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Component Plasma ◽  
Basic Characteristics ◽  
Superthermal Electrons And Positrons

Two-dimensional three-component plasma system consisting of nonextensive electrons, positrons, and relativistic thermal ions is considered. The well-known Kadomtsev-Petviashvili-Burgers and Kadomtsev-Petviashvili equations are derived to study the basic characteristics of small but finite amplitude ion acoustic waves of the plasmas by using the reductive perturbation method. The influences of positron concentration, electron-positron and ion-electron temperature ratios, strength of electron and positrons nonextensivity, and relativistic streaming factor on the propagation of ion acoustic waves in the plasmas are investigated. It is revealed that the electrostatic compressive and rarefactive ion acoustic waves are obtained for superthermal electrons and positrons, but only compressive ion acoustic waves are found and the potential profiles become steeper in case of subthermal positrons and electrons.

Effect of the third-order contribution on ion-acoustic solitary waves

1979 ◽  
Vol 57 (12) ◽  
pp. 2136-2142 ◽  
Author(s):  
C. S. Lai
Keyword(s):  
Solitary Waves ◽  
Order Approximation ◽  
Reductive Perturbation Method ◽  
Renormalization Scheme ◽  
Third Order ◽  
The Third ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Third Order Approximation ◽  
Secular Terms

The effect of the third-order corrections on ion-acoustic solitary waves is studied on the basis of the reductive perturbation method. The secular terms in the third-order approximation are eliminated by employing the renormalization scheme of Kodama and Taniuti in an unambiguous manner. It is found that the contribution of the third-order corrections to the soliton velocities and widths is rather minimal.

Second harmonic interference patterns of ion-acoustic waves

1982 ◽  
Vol 27 (3) ◽  
pp. 543-552
Author(s):  
L. Schott
Keyword(s):  
Acoustic Waves ◽  
Second Harmonic ◽  
Physical Optics ◽  
Third Wave ◽  
Ion Acoustic Waves ◽  
Weakly Nonlinear ◽  
Linear Pattern ◽  
The Third ◽  
Ion Acoustic ◽  
Local Wave

The interaction of two weakly nonlinear sinusoidal ion-acoustic waves produces mainly a fundamental and a second harmonic diffraction pattern. The former is similar to the double slit pattern well known from physical optics, while it is found that the latter resembles a linear pattern generated by the superposition of three waves. The third wave is formed by mutual nonlinear interaction of the two fundamental waves. The intensity of the second harmonic pattern is modulated by the recurrence effect and it depends also on the angle between the local wave vectors.

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