Time-fractional Schamel–KdV equation for dust-ion-acoustic waves in pair-ion plasma with trapped electrons and opposite polarity dust grains

2016 ◽  
Vol 380 (9-10) ◽  
pp. 1031-1036 ◽  
Author(s):  
Shimin Guo ◽  
Liquan Mei ◽  
Yaling He ◽  
Yibao Li
Keyword(s):  
Acoustic Waves ◽  
Kdv Equation ◽  
Opposite Polarity ◽  
Dust Grains ◽  
Ion Acoustic Waves ◽  
Trapped Electrons ◽  
Ion Plasma ◽  
Ion Acoustic ◽  
Dust Ion Acoustic Waves

Nonlinear ion–acoustic waves in an inhomogeneous plasma with non-thermal distribution of electrons

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
S. V. Singh
Keyword(s):  
Boundary Layer ◽  
Acoustic Waves ◽  
Kdv Equation ◽  
Thermal Parameter ◽  
Ion Acoustic Waves ◽  
Earth’S Magnetosphere ◽  
Thermal Distribution ◽  
Ion Plasma ◽  
Ion Acoustic ◽  
Earth's Magnetosphere

In the Earth's magnetosphere, the boundary layer regions are the sources for inhomogeneous plasmas and are natural laboratories to study wave phenomena. In these regions, particles distributions also differ from Maxwellian and are found to be non-thermal. Therefore, amplitude of the waves propagating through these regions can vary differently compared to the homogeneous plasmas. In this study, propagation of ion–acoustic waves (IAWs) in an inhomogeneous, warm electron-ion plasma is examined. The electrons are considered to be having non-thermal Cairn's type distribution and ions follow the fluid dynamical equations. Further, inhomogeneity is assumed in equilibrium density of the electrons and ions. The evolution of the nonlinear IAWs is governed by the Korteweg–de Vries (KdV) equation with variable coefficients. Analytical solution of the KdV equation shows that for a cold ion plasma and non-thermal electrons, the amplitude and the width of the nonlinear IAWs decreases and increases, respectively with the inclusion of the non-thermal distribution of electrons. It is interesting to note that nonlinear IAWs in this model can not propagate for whole range of non-thermal parameter, α. The novel result of this study is that for nonlinear IAWs to propagate in the inhomogeneous two component plasma with ions and non-thermal electrons, the non-thermal parameter, α ⩽ 0.155. Results from our study may have impact on the propagation of the IAWs in the boundary layer regions of the Earth's magnetosphere where density inhomogeneities are appreciable.

scholarly journals Contribution of Higher-Order Dispersion to Nonlinear Dust Ion Acoustic Waves in Inhomogeneous Mesospheric Dusty Plasma with Dust Charge Fluctuation

2010 ◽  
Vol 65 (1-2) ◽  
pp. 91-99 ◽  
Author(s):  
Mohamed T. Attia ◽  
Mohsen A. Zahran ◽  
Emad K. El-Shewy ◽  
Ahmed E. Mowafy
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Kdv Equation ◽  
Variable Coefficients ◽  
Higher Order ◽  
Ion Acoustic Waves ◽  
Dust Charge ◽  
Ion Acoustic ◽  
Dust Ion Acoustic Waves ◽  
Order Dispersion

AbstractThe propagation of dust ion acoustic waves (DIAWs) in a weakly inhomogeneous, weakly coupled, collisionless, and unmagnetized four components dusty plasma are examined. The fluid system considered in this work consists of cold positive ions, cold negatively and positively charged dust particles associated with isothermal electrons. For nonlinear (DIAW) waves, a reductive perturbation method was employed to obtain the variable coefficients Kortewege-de Vries (KdV) equation for the first-order potential. For local inhomogenity, the present system admits the coexistence of rarefactive and compressive solitons. As a matter of fact, when the wave amplitude enlarged, the width and velocity of the wave deviate from the prediction of the KdV equation. It means that we have to extend our analysis to obtain the variable coefficients Kortewege-de Vries (KdV) equation with fifth-order dispersion term. For locally constant parameters, the higher-order solution for the resulting equation has been achieved via what is called perturbation technique. The effects of positive and negative dust charge fluctuations on the higher-order soliton amplitude and width of electrostatic solitary structures are outlined.

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