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- A new asymptotic numerical method for nonlinear dynamic equations was proposed.In this method, the homotopy perturbation method was improved by using the precise integration technique. 摘要利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。
- homotopy perturbation method 同伦摄动法
- This confirms the accuracy of the perturbation method which we adopted. 这就证明了我们采用的摄动法有较好的准确性。
- The approximate analytical solution is got by using perturbation method. 通过扰动方法求得问题的近似解析解。
- The modified Korteweg-de Vries equation (the mKdV equation, for short) near the critical point is derived by using the reductive perturbation method. 通过约化摄动法,在临界点附近推导出 modified Korteweg-de Vries方程(简称,mKdV方程)。
- Characteristics of omni-directional dielectric rod grating leaky antennas with arbitrary profiles are investigated by an improved perturbation method. 摘要用改进微扰法分析了任意曲线形状圆柱形介质栅全向天线的辐射特性。
- Point that we not only find the approximate solution by using the perturbation method, but also can find the precise solution. 认为电场中带电谐振子用定态微扰的方法不仅可以求近似解，也可找到其精确解。
- The ground state energy of the magnetopolaron is derived by using a linear combination operator and the perturbation method. 采用线性组合算符和微扰法，导出了半导体量子点中磁极化子的基态能量。
- The four Stokes components of brightness temperature and emissivity are solved using the high-order small perturbation method(HSPM). 该模型基于二维粗糙海面上场的高阶微扰法展开近似,得到了4个发射率分量及亮温的高阶微扰解。
- In this paper, a new approach based on perturbation method is proposed for the piecewise polynomial approximation of rational curves and surfaces. 本文利用摄动的思想，以摄动有理曲线（曲面）的系数的无穷模作为优化目标，给出了用多项式曲线（曲面）逼近有理曲线（曲面）的一种新方法。
- Homotopy Perturbation Solution of Sea-air Oscillator for ENSO Model 一类海-气振子ENSO模型的同伦摄动解法
- Making the comparison with the strongly nonlocal soliton solution obtained by Guo etal., we find the soliton solution obtained with the perturbation method is more accurate. 在强非局域条件下，和郭旗等人所得到的孤子解进行比较发现，用微扰方法所得到的强非局域孤子解更加精确。
- Based on the modal perturbation method and the mode superposition method, an approach is established for vertical seismic response analysis of prestressed aqueducts. 摘要首先建立了考虑预应力影响的渡槽竖向地震反应分析的变系数微分方程。
- The interval parameter perturbation method and the interval parameter back analysis method are studied, and the interval parameter monotony back analysis method is presented. 摘要研究了区间参数摄动法和区间参数优化反分析法，提出了区间参数单调性优化反分析法。
- The program realization and numerical calculation of the concrete calculating examples can testify the efficiency and feasibility of the best perturbation method to solve the problems of the kinds. 通过对具体算例的程序实现和数值计算，并结合形象化的图表和图形，验证了最佳摄动量法解决此类问题的有效性和可行性。
- Methods According to the limearized theory and the weakly nonlinear theory, the perturbation method is used. 方法根据线性化理论与弱的非线性理论，运用奇异摄动的方法进行研究。
- In this paper, Reynolds equation of fintely-wide journal bearing for Oldroydfluid is derived by perturbation methods. 采用摄动分析方法,推导出Oldroyd模型的非牛顿流体的雷诺方程。
- A Second-order periodic Sotution of Van der pol equation is obtained by perturbation method and emend this method's application range to strong nonlinear equation Via exact transformtion. 本文用摄动法求出范德波方程的二阶周期解，利用恰当变换，把此法的应用范围扩充到强非线性方程。
- Based on the vector wave theory, the formula for the calculation of propagation constants of guided modes or leaky modes in two-clad nonlinear uniaxial optical fibers is derived using the perturbation method. 基于严格的矢量波理论,用摄动法导出了计算双包层非线性单轴光纤导模或泄漏模传播常数的公式。
