论文标题
在低地球轨道（LEO）血浆区域存在带电空间碎片的非线性离子声波的动力学研究
Dynamical study of nonlinear ion-acoustic waves in presence of charged space debris at Low Earth Orbital (LEO) plasma region
论文作者
论文摘要
我们考虑在低地球轨道（LEO）区域产生的血浆环境中，由轨道带电的空间碎片引起的非线性离子声波。生成的非线性离子声波显示由强制的korteweg-de Vries方程控制，其强迫函数取决于带电的空间碎片函数。对于强迫碎屑函数与非线性离子声波之间的特定关系，强制KDV方程变为完全可集成的系统，其中碎屑函数遵守确定的非独立约束。首次为离子声波得出了特殊的精确加速孤子溶液（随时间变化的速度随时间变化，而其振幅保持恒定）。另一方面，孤子碎片功能的幅度随时间而变化，其形状在传播过程中的变化。具有随时间变化的幅度和速度的近似离子声学孤立波解决方案已针对不同的弱局部电荷碎片函数得出。在未来的研究方向上说明了获得的空间等离子物理学结果的可能应用。
We consider the nonlinear ion-acoustic wave induced by the orbiting charged space debris in the plasma environment generated at Low Earth Orbital (LEO) region. The generated nonlinear ion-acoustic wave is shown to be governed by the forced Korteweg-de Vries equation with the forcing function dependent on the charged space debris function. For a specific relationship between the forcing debris function and the nonlinear ion-acoustic wave, the forced KdV equation turns to be a completely integrable system where the debris function obeys a definite non-holonomic constraint. A special exact accelerated soliton solution (velocity of the soliton changes over time whereas its amplitude remains constant) has been derived for the ion-acoustic wave for the first time. On the other hand, the amplitude of the solitonic debris function varies with time, and its shape changes during propagation. Approximate ion-acoustic solitary wave solutions with time-varying amplitude and velocity, have been derived for different weak localized charged debris functions. Possible applications of the obtained results in space plasma physics are stated along with future the direction of research.
