热尘埃等离子体中尘埃声波的调制不稳定性

Modulational instability of dust-acoustic waves in a warm dusty plasma

通过约化摄动法,得到了描述具有2种离子温度且尘埃微粒电荷可变的热尘埃等离子体中尘埃声波的非线性薛定谔方程,并研究了热尘埃等离子体中低温离子未受扰动的数密度、低温离子温度、高温离子未受扰动的数密度、高温离子温度、尘埃微粒的温度对尘埃声波调制不稳定性的影响.结果表明,具有2种离子温度且尘埃微粒电荷可变的热尘埃等离子体中尘埃声波是调制稳定的,低温离子未受扰动的数密度是影响尘埃声波调制不稳定性的主要因素.具有2种离子温度且尘埃微粒电荷可变的热尘埃等离子体中仅存在暗孤子.

By using reductive perturbation technique, we obtained a nonlinear Schroedinger equation for a two-temperature ions warm dusty plasma with variable dust charge. The modulational instability of the dust-acoustic wave in the dusty plasma is investigated. The effects of both the unperturbed density and temperature of two-temperature ions, as well as the variable charge of warm dust grains on modulational instability are all discussed in detail. It shows that the dust-acoustic wave is modulational stable in this dusty plasma. The unperturbed density of low-temperture ions is the critical factor for the modulational instability. Only the dark soliton exists in this dusty plasma.