•
The propagation of nonlinear dust-acoustic waves (DAWs) in an unmagnetized, collisionless dusty plasma consisting of dust grains obeying the power-law dust size distribution and nonthermal ions are investigated. For nonlinear DAWs, a... more
The propagation of nonlinear dust-acoustic waves (DAWs) in an unmagnetized, collisionless dusty plasma consisting of dust grains obeying the power-law dust size distribution and nonthermal ions are investigated. For nonlinear DAWs, a reductive perturbation method was employed to obtain a Korteweg–de Vries (KdV) equation for the first-order potential. As the wave amplitude increases, the width and the velocity of the soliton deviate from the prediction of the KdV equation, i.e. the breakdown of the KdV approximation occurs. To overcome this weakness, we extended our analysis to obtain the KdV equation with the fifth-order dispersion term. After that, the higher order solution for the resulting equation has been achieved via what is called the perturbation technique. The effects of dust size distribution, dust radius and nonthermal distribution of ions on the higher order soliton amplitude, width and energy of electrostatic solitary structures are presented.
Publication Date: 2008
Publication Name: Physica Scripta
Research Interests:
•
Higher order solution of the dust ion acoustic solitons in a warm dusty plasma with vortex-like electron distributionmore
by Emad shewy and Ahmed Mowafy
Publication Date: 2005
Publication Name: Chaos, Solitons & Fractals
Research Interests:
•
Effects of adiabaticity and non-adiabaticity of dust charge fluctuation on the propagation of the dust ion acoustic waves in inhomogeneous dusty plasmamore
by Emad shewy and Ahmed Mowafy
Publication Date: 2011
Publication Name: Advances in Space Research
Research Interests:
•
Effect of dust charge fluctuation on the propagation of dust-ion acoustic waves in inhomogeneous mesospheric dusty plasmamore
by Emad shewy and Ahmed Mowafy