河床流体模型方程是出现在两相流体动力学中的重要模型，本文研究了该模型单调递减扭状孤波解的渐近稳定性．文中我们首先推导了关于该扭状孤波解的一阶、二阶导数估计，然后再运用恰当的能量估计技巧和Young不等式，克服了该模型复杂耗散项引起的困难，得到了其扭状孤波解关于扰动的一致能量估计，从而证明了该模型单调递减扭状孤波解的渐近稳定性．

The fluidized-bed modeling equation is an important model in the dynamics of two-phase flow. In this paper, we consider the asymptotic stability of the monotone decreasing kink profile solitary-wave solution of the equation. At first, we obtain the first and second derivative estimates of the kink profile solitary-wave solution. Then according to the technical energy estimation and Young inequalities, we overcome the difficulty caused by the complex dissipative term, and establish the uniformly energy estimate for the perturbation of the traveling wave solution. Finally, we prove that the monotone decreasing kink profile solitary-wave solution is asymptotically stable.