In the beginning, the velocity potential and displacement of incident waves and reflected waves are separated respectively. Based on time-domain second-order theory, first and second-order wave reflection models are established by using Taylor series expansion and perturbation expansion.
本文将入射波速度势和反射波速度势及入射波高和反射波高进行分离,基于时域二阶理论,应用泰勒级数展开和摄动展开方法,分别建立关于一、二阶反射速度势的拉普拉斯方程,并使自由表面边界条件在静水面上满足,计算域不随时间变化,分别建立一、二阶反射模型。
参考来源 - 箱筒型基础防波堤上非线性波浪力研究·2,447,543篇论文数据，部分数据来源于NoteExpress
在第一部分，我们提出了用于构建把有关质量的摄动展开到三阶的方法。
In the first part, we develop the method used for the construction of the third order perturbations with respect to the masses.
本文描述了一种新的、不依赖于小参数的非线性分析方法，并分析、比较了该方法与摄动展开方法的优缺点。
In this paper, a new kind of nonlinear analytical method which does not depend on small parameters is described and is compared with the perturbation techniques.
最后文章证明了对带松弛项的流波方程初值问题所作的奇异摄动展开的有效性，得出了有关解的存在性的一些有用的推论。
In the end, we prove the validity of the singular perturbation expansions and get some useful deductions about the existence of the classical solution to the flood wave equations.
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