太阳风中非线性离子波研究的解析方法Ⅰ

本文从MHD方程组出发，推导了太阳风磁化等离子体中非线性静电离子声波孤立于传播的非线性控制方程，从而得到了扰动位势的解析解。讨论了各种等离子体参数情况下孤立于形成的条件。

Analytical Method in the Study of Nonlinear Acoustic Waves in the Magnetized Plasma of Solar Wind,Part Ⅰ

In this paper,the governing equation for the propagation of nonlinear acoustic waves inthe magnetized plasma of solar wind is derived from the MHD system. By the numerical inte-gration technique,the analytical solutions for the perturbed electric potential and hence thefluctuation of ion density are obtained. Then the exact solutions are used to give a reasonableas we1l as probab1e explanation for the formation of nonlinear acoustic waves propagating inthe magnetized plasma of solar wind,with the help of the observation results by Satellites.The results shows that acoustic waves traveling in the solar wind propagate perpendicular tothe direction of solar wind and can be very complex,may have different phase velocities andgenerate multi - solitons depending on the size of solar wind ve1ocity, Meanwhile the wavewidth and amplitude change greatly with the propagation directions and solar wind velocity-