Propagation of kink and anti-kink wave solitons for the nonlinear damped modified Korteweg–de Vries equation arising in ion-acoustic wave in an unmagnetized collisional dusty plasma

2020 ◽  
Vol 544 ◽  
pp. 123560 ◽  
Author(s):  
Aly R. Seadawy ◽  
Mujahid Iqbal ◽  
Dianchen Lu
1986 ◽  
Vol 36 (2) ◽  
pp. 301-312 ◽  
Author(s):  
S. G. Tagare

Ion-acoustic solitons in a collisionless plasma with adiabatic positive and negative ions with equal ion temperature and isothermal electrons are studied by using the reductive perturbation method. The basic set of fluid equations is reduced for the fast ion-acoustic wave to the Korteweg–de Vries and modified Korteweg–de Vries equation and for the slow ion-acoustic wave to the Korteweg–de Vries equation. Stationary solutions of these equations are obtained and the effect of ion temperature on fast and slow ion-acoustic solitons is investigated.


2018 ◽  
Vol 3 (3) ◽  
Author(s):  
A. Paul ◽  
◽  
G. Mandal ◽  
A. A. Mamun ◽  
M. R. Amin ◽  
...  

2013 ◽  
Vol 13 (9) ◽  
pp. 1933-1942 ◽  
Author(s):  
T. Abbaszadeh ◽  
H. Zahed ◽  
S. Salkhi Khasraghi ◽  
M.S. Sekhavat

2016 ◽  
Vol 82 (5) ◽  
Author(s):  
Subrata Sarkar ◽  
Ashish Adak ◽  
Samiran Ghosh ◽  
Manoranjan Khan

The effects of ionization, ion loss and ion-neutral collisions on ion acoustic wave modulations in a dusty plasma are investigated. It is found that the dynamics of the modulated wave is governed by a nonlinear Schrödinger equation with a linear dissipative (damping or growth) term. This linear dissipative term arises due to the combined influence of ionization, ion loss and ion-neutral collisions. Analytical and numerical investigations predict the formation of envelope (bright) soliton with growing or decaying amplitude with time. The ionization instability causes the amplitude amplification, whereas, ion loss and ion-neutral collisions are responsible for the amplitude decay. Results are discussed in the context of dusty plasma experiments.


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