By using the reductive perturbation technique,dust acoustic waves in dusty plasma including man-y different dust grain species have been studied. We obtained a KdV equation for the nonlinear dust acoustic waves in this system. It can be seen that the characteristic of dust acoustic waves is dependent on the dust size distribution, the nonlinear relation between the charge and size of the dust grain and the environmental constant. Moreover,it is found that there is only rare factive solitary waves existing.%运用约化摄动方法,研究了由多种不同尺寸分布的尘埃颗粒组成的尘埃等离子体中的尘埃声波,得到了描述非线性尘埃声波的Korteweg-de Vries(KdV)方程.结果表明:尘埃声波的波动特性与尘埃颗粒的大小分布、电荷量与半径的非线性关系以及环境常数有关,而且,在该系统中,只有稀疏型孤波存在.
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