In this article, contrary to what is known previously, a randomized dusty plasma model is introduced. In this new issue, the uncertain properties of the plasma nonlinear system are assumed as continuous random variables. Hence, a comprehensive probabilistic behavior of the interesting characteristics of the dusty plasma wave is presented through computing the first probability density functions and consequently the means, the variances and the confidence intervals. For this goal, a probabilistic transformational technique that is known as the random variable transformation is implemented. The obtained theoretical findings are investigated via some numerical results that showed acceptable consistency with the physical situations.

在本文中，与之前已知的相反，引入了一个随机的尘埃等离子体模型。在这个新问题中，等离子体非线性系统的不确定特性被假定为连续随机变量。因此，通过计算第一概率密度函数以及平均值、方差和置信区间，呈现了尘埃等离子体波的有趣特征的综合概率行为。为此，我们实施了一种称为随机变量变换的概率变换技术。通过一些数值结果对获得的理论结果进行了研究，这些结果显示出与物理情况的可接受的一致性。