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Nonlinear dust acoustic waves in an inhomogeneous magnetized quantum dusty plasma
Waves in Random and Complex Media ( IF 4.051 ) Pub Date : 2021-02-03 , DOI: 10.1080/17455030.2021.1880030
A. Atteya 1 , M. A. El-Borie 1 , G. D. Roston 1 , A. S. El-Helbawy 2
Affiliation  

Propagations of nonlinear quantum dust acoustic waves (QDAWs) in an inhomogeneous magnetized dusty plasma model which is three-dimensional collisionless, and having number density gradients of its components along x-direction is investigated. This model consisting of ions, electrons and charged dust particles in the presence of an external static magnetic field. The reductive perturbation method was adopted to derive the modified Zakhavov Kusnetsov equation (MZK) whose coefficients are space dependent. The incorporation of inhomogeneity caused by nonuniform equilibrium values of particle density leads to a significant modification to the nature of nonlinear QDAWs. Solutions for the MZK equation are obtained by using a generalized expansion method. The solutions have two parts; amplitude factor and the superposition of bell-shaped solitary wave. The soliton amplitude, width, and velocity depends on the plasma inhomogeneities. Findings in these numerical investigations should be useful in understanding the astrophysical plasmas and ultra small micro- and nano-electronic devices.



中文翻译:

非均匀磁化量子尘埃等离子体中的非线性尘埃声波

研究了非线性量子尘埃声波 (QDAW) 在非均匀磁化尘埃等离子体模型中的传播,该模型是三维无碰撞的,其分量沿 x 方向具有数密度梯度。该模型由存在外部静磁场的离子、电子和带电尘埃粒子组成。采用还原摄动法推导了系数空间相关的修正Zakhavov Kusnetsov方程(MZK)。由粒子密度的不均匀平衡值引起的不均匀性的结合导致对非线性 QDAW 性质的重大修改。MZK 方程的解是通过使用广义展开法获得的。解决方案分为两部分;振幅因子与钟形孤立波的叠加。孤子振幅、宽度和速度取决于等离子体的不均匀性。这些数值研究的发现应该有助于理解天体物理等离子体和超小型微型和纳米电子设备。

更新日期:2021-02-03
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