MODIFIED KORTEWEG-de VRIES SOLITONS ON DUST ION ACOUSTIC SOLITARY WAVES IN A WARM PLASMA WITH ELECTRONS’ DRIFT MOTION

2016 ◽  
Vol 19 (3) ◽  
pp. 541-553
Author(s):  
R. Das ◽  
K. C. Nath
Keyword(s):  
Solitary Waves ◽  
Drift Motion ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
De Vries ◽  
Warm Plasma

Cylindrical and Spherical Dust-Ion Acoustic Solitary Waves by Damped Korteweg-de Vries-Burgers Equation

2019 ◽  
Vol 49 (5) ◽  
pp. 693-697 ◽  
Author(s):  
Dong-Ning Gao ◽  
Zheng-Rong Zhang ◽  
Jian-Peng Wu ◽  
Dan Luo ◽  
Wen-Shan Duan ◽  
...  
Keyword(s):  
Solitary Waves ◽  
Burgers Equation ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
De Vries

Nonplanar ion-acoustic solitary waves with superthermal electrons in warm plasma

2011 ◽  
Vol 18 (7) ◽  
pp. 072305 ◽  
Author(s):  
Parvin Eslami ◽  
Marzieh Mottaghizadeh ◽  
Hamid Reza Pakzad
Keyword(s):  
Solitary Waves ◽  
Superthermal Electrons ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Warm Plasma

Ion-acoustic solitary waves in a weakly relativistic warm plasma at the critical phase velocity

1996 ◽  
Vol 56 (1) ◽  
pp. 13-24 ◽  
Author(s):  
S. K. El-Labany ◽  
H. O. Nafie ◽  
A. El-Sheikh
Keyword(s):  
Phase Velocity ◽  
Solitary Waves ◽  
Mkdv Equation ◽  
Inhomogeneous Equation ◽  
Coupled Equations ◽  
Basic Set ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Critical Phase ◽  
Warm Plasma

Ion-acoustic solitary waves in a weakly relativistic warm plasma at the critical phase velocity are investigated using reductive perturbation theory. The basic set of fluid equations describing the system is reduced to a renormalized warmion modified Korteweg—de Vries (mKdV) equation for the first-order perturbed potential and a renormalized linear inhomogeneous equation for the second-order perturbed potential. The stationary solution of the coupled equations is obtained. The cold-plasma limit is considered in order to rule comparisons with work of Pakira et al.

On the modulation of ion-acoustic solitary waves in a cylindrical warm plasma near critical density

1991 ◽  
Vol 13 (6) ◽  
pp. 699-707 ◽  
Author(s):  
A. Roy Chowdhury ◽  
K. Roy Chowdhury ◽  
S. N. Paul
Keyword(s):  
Solitary Waves ◽  
Critical Density ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Warm Plasma

The effect of the ion temperature on the ion acoustic solitary waves in a collisionless relativistic plasma

1987 ◽  
Vol 37 (3) ◽  
pp. 487-495 ◽  
Author(s):  
Yasunori Nejoh
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Relativistic Effect ◽  
Vries Equation ◽  
Oscillatory Solution ◽  
Relativistic Plasma ◽  
Ion Temperature ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
De Vries

The effect of the ion temperature on ion acoustic solitary waves in a collisionless relativistic plasma is discussed using the Korteweg–de Vries equation. The phase velocity of the ion acoustic waves decreases as the relativistic effect increases, and increases as the ion temperature increases. Only a compressional soliton of the ion acoustic wave is formed in this system. Since its amplitude increases for the lower ion temperature as the relativistic effect increases, we deduce the formation of a precursor by the presence of the streaming ions. In contrast, for the higher ion temperature, the amplitude decreases slowly. Furthermore, it is shown that the oscillatory solution of the Korteweg–de Vries equation smoothly links with the nonlinear Schrödinger equation in a relativistic plasma.

Effect of ionic temperature on propagation of ion-acoustic solitary waves in a collisionless plasma of warm-ion fluid and non-isothermal electrons

1975 ◽  
Vol 14 (1) ◽  
pp. 1-6 ◽  
Author(s):  
S. G. Tagare
Keyword(s):  
Solitary Waves ◽  
Perturbation Technique ◽  
Collisionless Plasma ◽  
Stationary Solutions ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
De Vries

Using a perturbation technique, we derive Modified Korteweg—de Vries (MKdV) equations for a mixture of warm-ion fluid (γ i = 3) and hot and non-isothermal electrons (γ e> 1), (i) when deviations from isothermality are finite, and (ii) when deviations from isothermality are small. We obtain stationary solutions for these equations, and compare them with the corresponding solutions for a mixture of warm-ion fluid (γ i = 3) and hot, isothermal electrons (γ i = 1).

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