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提出了在海浪对海岸作用过程中由于泥沙冲淤所造成的水下斜坡剖面演化的数学模式，导出了描述海底变形的方程。该方程属于非线性热传导方程一类。在确定边界条件时，曾考虑了对于给定的海浪状况下实际剖面对其均衡状态适应的程度。还介绍了在波浪原始参数和水下斜坡特征不同值时，海底由最初线性剖面的演变，指出理论预测的底形变化趋势与实测的底形变化趋势相类似。
The mathematic model of underwater slope profile evolution caused by sediment erosion and sedimentation during the process of sea waves’ impact on the coast was proposed, and the equation describing the deformation of the sea floor was derived. The equation belongs to the class of nonlinear heat conduction equations. In determining the boundary conditions, the degree to which the actual profile is adapted to its equilibrium state for a given wave condition has been considered. The evolution of the seafloor from the initial linear profile is also introduced for different values of the original parameters of the wave and the characteristics of the underwater slope. It is pointed out that the trend of the bottom forecast of the theoretical forecast is similar to the trend of the bottom forecast.