Effects of chemical potentials on isothermal ion-acoustic solitary waves and their three-dimensional instability in a magnetized ultra-relativistic degenerate multicomponent plasma

2020 ◽  
Vol 27 (3) ◽  
pp. 032101 ◽  
Author(s):  
E. F. El-Shamy ◽  
M. M. Selim ◽  
A. El-Depsy ◽  
M. O. Abdellahi ◽  
O. Al-Hagan ◽  
...  
Keyword(s):  
Solitary Waves ◽  
Three Dimensional ◽  
Multicomponent Plasma ◽  
Chemical Potentials ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Dimensional Instability

Multi-dimensional instability of multi-ion acoustic solitary waves in a degenerate magnetized plasma

2013 ◽  
Vol 88 (1) ◽  
pp. 015501 ◽  
Author(s):  
S Akter ◽  
M M Haider ◽  
S S Duha ◽  
M Salahuddin ◽  
A A Mamun
Keyword(s):  
Solitary Waves ◽  
Magnetized Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Dimensional Instability

scholarly journals Study of Ion-Acoustic Solitary Waves in a Magnetized Plasma Using the Three-Dimensional Time-Space Fractional Schamel-KdV Equation

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-17 ◽  
Author(s):  
Min Guo ◽  
Chen Fu ◽  
Yong Zhang ◽  
Jianxin Liu ◽  
Hongwei Yang
Keyword(s):  
Fractional Calculus ◽  
Solitary Waves ◽  
Kdv Equation ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Magnetized Plasma ◽  
Integer Order ◽  
Time Space ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

The study of ion-acoustic solitary waves in a magnetized plasma has long been considered to be an important research subject and plays an increasingly important role in scientific research. Previous studies have focused on the integer-order models of ion-acoustic solitary waves. With the development of theory and advancement of scientific research, fractional calculus has begun to be considered as a method for the study of physical systems. The study of fractional calculus has opened a new window for understanding the features of ion-acoustic solitary waves and can be a potentially valuable approach for investigations of magnetized plasma. In this paper, based on the basic system of equations for ion-acoustic solitary waves and using multi-scale analysis and the perturbation method, we have obtained a new model called the three-dimensional(3D) Schamel-KdV equation. Then, the integer-order 3D Schamel-KdV equation is transformed into the time-space fractional Schamel-KdV (TSF-Schamel-KdV) equation by using the semi-inverse method and the fractional variational principle. To study the properties of ion-acoustic solitary waves, we discuss the conservation laws of the new time-space fractional equation by applying Lie symmetry analysis and the Riemann-Liouville fractional derivative. Furthermore, the multi-soliton solutions of the 3D TSF-Schamel-KdV equation are derived using the Hirota bilinear method. Finally, with the help of the multi-soliton solutions, we explore the characteristics of motion of ion-acoustic solitary waves.

scholarly journals Characteristics of the Solitary Waves in Multicomponent Plasmas

1990 ◽  
Vol 43 (1) ◽  
pp. 65 ◽  
Author(s):  
GC Das ◽  
B Karmakar
Keyword(s):  
Solitary Waves ◽  
Charged Particles ◽  
Physical Behaviour ◽  
Multicomponent Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

We have investigated ion-acoustic solitary waves in a multicomponent plasma. The study shows an interaction of the negatively charged particles with the solitary waves, due to which interesting physical behaviour of the solitary waves is observed. Moreover, the isothermality and the non-isothermality of the plasma exhibit different soliton-type solutions and a transition of the soliton's behaviour can be shown through the changes of the non-isothermality in the plasma.

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