Arbitrary amplitude solitary and shock waves in an unmagnetized quantum dusty electron-positron-ion plasma

2013 ◽  
Vol 20 (8) ◽  
pp. 082303 ◽  
Author(s):  
M. R. Rouhani ◽  
A. Akbarian ◽  
Z. Mohammadi
2015 ◽  
Vol 45 (4) ◽  
pp. 444-449 ◽  
Author(s):  
M. A. Hossen ◽  
M. M. Rahman ◽  
M. R. Hossen ◽  
A. A. Mamun

2016 ◽  
Vol 82 (3) ◽  
Author(s):  
Xiaodan Wang ◽  
Yunliang Wang ◽  
Tielu Liu ◽  
Fan Zhang

Two-dimensional nonlinear magnetosonic solitary and shock waves propagating perpendicular to the applied magnetic field are presented in quantum electron–positron–ion plasmas with strongly coupled classical ions and weakly coupled quantum electrons and positrons. The generalized viscoelastic hydrodynamic model is used for the ions and a quantum hydrodynamic model is introduced for the electrons and positrons. In the weakly nonlinear limit, a modified Kadomstev–Petviashvili (KP) equation with a damping term and a KP–Burgers equation have been derived in the kinetic regime and hydrodynamic regime, respectively. The analytical and numerical solutions of the modified KP and KP–Burgers equations are also presented and analysed with the typical parameters of a white dwarf star and pulsar magnetosphere, which show that the quantum plasma beta and the variation of positron number density have remarkable effects on the propagation of magnetosonic solitary and shock waves.


2016 ◽  
Vol 71 (12) ◽  
pp. 1131-1137 ◽  
Author(s):  
Md. Masum Haider

AbstractAn attempt has been taken to find a general equation for degenerate pressure of Chandrasekhar and constants, by using which one can study nonrelativistic as well as ultra-relativistic cases instead of two different equations and constants. Using the general equation, ion-acoustic solitary and shock waves have been studied and compared, numerically and graphically, the two cases in same situation of electron-positron-ion plasmas. Korteweg–de Vries (KdV) and KdV–Barger equations have been derived as well as their solution to study the soliton and shock profiles, respectively.


2014 ◽  
Vol 21 (2) ◽  
pp. 022108 ◽  
Author(s):  
Ding Lu ◽  
Zi-Liang Li ◽  
Nuriman Abdukerim ◽  
Bai-Song Xie

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