An exact solution for the nonlinear birefringent medium model is obtained by using SO(3) rotation group property.
本文利用SO（3）旋转群性质得到了非线性双折射介质模型的一个严格解。
It is very difficult to get analytic solution except some very specific cases for the model owing to nonlinear partial differential equation.
由于非饱和流动的数学模型归结为非线性的偏微分方程，除了一些很特殊的情况外，很难得到解析解。
This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
The real optimal solution of nonlinear discrete dynamic system can be obtained from piecewise linear model with model reality differences by iterative solution.
在存在模型-实际差异的情况下，从分时段线性化多模型出发通过迭代运算可得到实际非线性离散动态系统的真实最优解。
A variable length simple pendulum model is introduced, elementary analysis and perturbation analytic solution of nonlinear differential equation for parametric resonance are presented.
采用可变长度单摆的力学模型对秋千振荡给出初等分析，采用微扰近似法导出了秋千的非线性参数共振解析解， 并进行了讨论。
This research presents the general model of NDP, discusses the approaches to solve linear and nonlinear NDP, and analyze the common solution procedure for the large-scale network design problem.
在给出网络设计一般模型的基础上，讨论了线性和非线性两类网络设计问题的求解方法，总结了大规模网络设计问题的一般算法思想和步骤。
Firstly, the error of fit must be defined for nonlinear least-square fitting of generalized geometry model. Then the nonlinear optimization algorithm can be used to obtain the optimum solution.
对于一般几何模型的非线性最小均方误差拟合，首先必须定义拟合误差，然后采用非线性最优化方法求解最小误差意义下的最优解。
The inverse dynamics model of superheated steam temperature is complex, nonlinear, whose solution is get more difficult by general method.
过热汽温对象的逆动力学模型是复杂的非线性模型，利用常规的求解方法很难求解。
Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.
采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。
The solution for design model of soft landing in borehole trajectory can come down to the solution with 7-element nonlinear equations.
井眼轨道的软着陆设计模型的求解可以归结为一个七元非线性方程组的求解问题。
The nonlinear least square method and functional condition extremum model are introduced to describe the problems and numerical solution of them is proposed.
首先确定了自由度组合到指尖空间位置的映射，建立了求解上述问题的最小二乘模型、泛函条件极值模型，并给出了数值解法。
Common model control (CMC) is an effective nonlinear control method, but its application condition requests explicit solution for the first order differential model of the process.
通用模型控制是一种有效的非线性控制方法，但该方法的应用条件是过程一阶微分模型必须要有显式解。
The nonlinear model of the composite beam is established and the modal expansion solution is obtained.
建立梁的非线性弯曲方程，并求出模态展开解。
The nonlinear model of the composite beam is established and the modal expansion solution is obtained.
建立梁的非线性弯曲方程，并求出模态展开解。
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