精确解

There are many methods to obtain explicit solution s of nonlinear partial differential equations in the solition theory.

孤子方程的求解方法有许多种，达布变换就是其中一种非常有效的方法，它从孤子方程的一个平凡解出发能够求出一系列精确解。

With the combined method, some new types of solutions of the (2+1)-dimensionalcubic nonlinear Schr?

其次将求非线性发展方程精确解的广义射影Riccati方程法与求对称变换群的楼直接法框结合，研究了(2+1)-维色散长波方程，得到了一些新的类孤波解。

In general the precise calculating method of stability check of the slightness hydraulic cylinder is an outdo equation.

利用台劳级数，把液压缸稳定性校核精确解超越方程的各项在较为理想的点展开，去掉其高阶项，仅保留一次项，得到方程的近似解，并证明其安全性。

Activated carbon fiber ; fixed-bed ; adsorption ; breakthrough curve ; exact solution ; approximate solution

活性炭纤维；填充床；吸附；突破曲线；精确解；近似解

According to the above-mentioned principle, we can transform the series solution of the boundary value problem of Laplace's equation in the wedge, rectangle and semi-infinite strip, sector region into an exact similarity solution with the source type singularity by similarity method.

本文即根据上述之原理，将楔形区域、矩形区域与半无限长条区域以及扇形区域三大类拉普拉斯方程式边界值问题之无穷级数解，化为具有相同数学结构之源型奇性相似精确解。

So a simple and practicable iterative algorithm for solving any system of linear equations is given and its convergence is pro.

由于其方程组一般是病态、无精确解的，为此探讨了一种求解任意线性方程组的简单、实用的迭代算法以及其收敛性，该算法不需矩阵求逆而总能得到最优解。

At last, we gave an upper bound of the difference of the combination and the boundary.

并求出近似解和精确解的接近程度。

In this paper, We obtain the solutions for nonisospectral evolution equation heirar-chies and r-sysmetry hierarchies by the inverse scattering transform, Hirota method and Wronskian technique, we also investigate the properties of these solutions.

本文利用反散射变换、Hirota方法、Wronskian技巧研究了非等谱发展方程族和等谱方程的τ方程族的精确解以及解的性质。

Keywords: The algebraical Bethe ansatz; open boundary; exact solution; soliton solution

中文关键词：代数Bethe ansatz方法；开边界；精确解；孤子解

It not only avoids the sensitivity to the model perturbation and the noncausality in the decoupling procedure of time-delay systems, but also is easily understood and accepted by the application engineers with its clear physical concept. Thus, it is a promising control approach to wide applications.

该方法不但克服了传统的精确解耦方法对模型摄动的敏感性及时滞系统在解耦过程中的非因果性问题，而且物理概念清楚，易于为现场工程师理解和接受，是一种具有广泛应用前景的控制方法。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。