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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Contribution of higher order dispersion to nonlinear dust-acoustic solitary waves in dusty plasma with different sized dust grains and nonthermal ions
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Contribution of higher order dispersion to nonlinear dust-acoustic solitary waves in dusty plasma with different sized dust grains and nonthermal ions

机译：高阶色散对不同粒径尘埃和非热离子的尘埃等离子体中非线性尘埃声孤立波的贡献

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摘要

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.
机译：研究了非线性磁尘声波（DAW）在无磁，无碰撞的尘埃等离子体中的传播，该等离子体由服从幂律尘埃尺寸分布的尘埃和非热离子组成。对于非线性DAW，采用还原摄动方法获得一阶电势的Korteweg-de Vries（KdV）方程。随着波幅的增加，孤子的宽度和速度偏离KdV方程的预测，即发生KdV近似分解。为了克服这一弱点，我们扩展了分析以获得具有五阶色散项的KdV方程。之后，通过所谓的摄动技术获得了所得方程的高阶解。提出了粉尘尺寸分布，粉尘半径和离子非热分布对静电孤结构的高阶孤子振幅，宽度和能量的影响。

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