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由于缓坡方程计算量大和其本身的缓坡假定而在实际应用中受到了限制，故对斯托克斯波在非平整海底（适用于缓坡和陡坡地形）上传播的Liu和Dingemans的三阶演化方程进行抛物逼近，得到一个新的非线性抛物型方程，它能够包含同类方程未曾考虑的二阶长波效应．通过数值计算结果与Berkhoff等人的经典实验数据的比较，证明所提出的抛物型模型理论具有较高的精度。
Due to the large computational complexity of the gentle slope equation and its own gentle slope assumptions, it is limited in practical application. Therefore, the third-order evolution equations of Stokes waves on Liu and Dingemans which propagate on non-flat seabed (for gentle and steep terrain) A parabolic approximation yields a new nonlinear parabolic equation that can include second-order longwave effects that are not considered in the same kind of equations. By comparing the numerical results with the classical experimental data of Berkhoff et al., The proposed parabolic model theory is proved to be highly accurate.