The nonlinear envelope solitary wave in unmagnetized dusty plasma with arbitrary dust size distribution,Boltzmann distributed ions and electrons is investigated.A (1+1)-dimensional nonlinear Schr(o)dinger equation through the reductive perturbation technique is obtained.After that the influence of arbitrary dust size distribution on nonlinear dispersion relation and group velocity are analyzed by the numerical simulation method.Moreover,the variations of the amplitude and width of envelope solitary wave are studied as well.%研究了包含尘埃颗粒以及玻尔兹曼分布的离子和电子的非磁化尘埃等离子体中的非线性包络孤波.运用约化摄动方法得到了(1+1)维非线性薛定谔方程,并通过数值方法分析了任意尘埃大小分布对非线性色散关系以及群速度的影响.此外,对包络孤波的振幅和宽度也进行了研究.
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