scholarly journals Head-on collision and overtaking collision between an envelope solitary wave and a KdV solitary wave in a dusty plasma

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Heng Zhang ◽  
Wen-Shan Duan ◽  
Xin Qi ◽  
Lei Yang
Keyword(s):  
Solitary Wave ◽  
Dusty Plasma ◽  
Overtaking Collision

scholarly journals Closed-form solutions to the solitary wave equation in an unmagnatized dusty plasma

2020 ◽  
Vol 59 (3) ◽  
pp. 1505-1514 ◽  
Author(s):  
Md Nur Alam ◽  
Aly R. Seadawy ◽  
Dumitru Baleanu
Keyword(s):  
Wave Equation ◽  
Solitary Wave ◽  
Closed Form ◽  
Dusty Plasma ◽  
Closed Form Solutions

Overtaking Collision and Phase Shifts of Dust Acoustic Multi-Solitons in a Four Component Dusty Plasma with Nonthermal Electrons

2015 ◽  
Vol 70 (9) ◽  
pp. 703-711 ◽  
Author(s):  
Gurudas Mandal ◽  
Kaushik Roy ◽  
Anindita Paul ◽  
Asit Saha ◽  
Prasanta Chatterjee
Keyword(s):  
Dusty Plasma ◽  
Kdv Equation ◽  
Perturbation Technique ◽  
Soliton Solutions ◽  
Phase Shifts ◽  
Nonlinear Propagation ◽  
Bilinear Method ◽  
Nonthermal Electrons ◽  
Dust Acoustic ◽  
Overtaking Collision

AbstractThe nonlinear propagation and interaction of dust acoustic multi-solitons in a four component dusty plasma consisting of negatively and positively charged cold dust fluids, non-thermal electrons, and ions were investigated. By employing reductive perturbation technique (RPT), we obtained Korteweged–de Vries (KdV) equation for our system. With the help of Hirota’s bilinear method, we derived two-soliton and three-soliton solutions of the KdV equation. Phase shifts of two solitons and three solitons after collision are discussed. It was observed that the parameters α, β, β1, μe, μi, and σ play a significant role in the formation of two-soliton and three-soliton solutions. The effect of the parameter β1 on the profiles of two soliton and three soliton is shown in detail.

scholarly journals Characteristics of ion-acoustic solitary wave in a laboratory dusty plasma under the influence of ion-beam

2012 ◽  
Vol 19 (10) ◽  
pp. 103704 ◽  
Author(s):  
M. K. Deka ◽  
N. C. Adhikary ◽  
A. P. Misra ◽  
H. Bailung ◽  
Y. Nakamura
Keyword(s):  
Solitary Wave ◽  
Dusty Plasma ◽  
Ion Beam ◽  
Ion Acoustic

Effects of dust size distribution on nonlinear magnetosonic wave in a dusty plasma

2020 ◽  
pp. 2150121
Author(s):  
Bo Liu ◽  
Juan Fang Han ◽  
Wen Shan Duan
Keyword(s):  
Solitary Wave ◽  
Size Distribution ◽  
Dusty Plasma ◽  
Propagation Velocity ◽  
Magnetosonic Wave ◽  
Dust Grains ◽  
Minimum Radius ◽  
Dust Size Distribution ◽  
The Difference ◽  
Dust Grain

Both the linear and the nonlinear magnetosonic wave in a multi-component dusty plasma are studied in the present paper. The dependence of the dispersion relation of the linear waves on the dust size distribution are given. It seems that the larger the difference between the maximum and the minimum radius of the dust grains, the lower the wave frequency for all cases of the dust size distribution. Furthermore, it is noted that the width, the amplitude and the propagation velocity of the KdV solitary wave depend on the dust size distribution, especially it depend on whether the number density of the larger sized dust grain is larger or smaller than that of the smaller sized dust grain. For the power law dust size distribution, the width and the propagation velocity of the KdV solitary wave between the maximum and the minimum radius of the dust grains is larger than that of mono-sized dusty plasma.

Effect of nonthermal ions on (3+1)-dimensional envelope solitary wave in magnetized PLD dusty plasma

2017 ◽  
Vol 92 (1) ◽  
pp. 129-136 ◽  
Author(s):  
Mai-mai Lin ◽  
Xiao-xue Zhang ◽  
Hai-su Du ◽  
Wen-shan Duan
Keyword(s):  
Solitary Wave ◽  
Dusty Plasma

The solitary wave propagation in a collisional dusty plasma

2008 ◽  
Vol 15 (8) ◽  
pp. 083701 ◽  
Author(s):  
B. P. Pandey ◽  
J. Vranjes
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Dusty Plasma
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