一类尘埃等离子体中的非线性尘埃声波的研究

The Study of Nonlinear Dust Acoustic Waves In A Set of Dusty Plasma

研究了由大小相等的冷尘埃颗粒和热等温电子、离子组成的未磁化的尘埃等离子体系统,运用约化摄动法从该系统的运动方程组中得出KP(Kadom tsev-Petviashvili)方程,给出了该方程的一个孤立波解,通过数值计算得到孤立波的波速、振幅和波宽与离子和电子的温度比、尘埃颗粒带电量和离子带电量比的数值关系。

For unmagnetized dusty plasma with same size dust grain species containing both hot isothermal electrons and ions, KP（Kadomtsev - Petviashvili）equation by using reductive perturbation method and solitary wave solution can be given, the variations of amplitude, width and propagation velocity of the solitary wave with the charge ratio of dust grains to ions and the temperature ratio of ions to electrons are studied numerically.